7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd- orc ........................................................4. U

P5

=. U +5..?8.Kur jcrmvotmkf sdkws tdot tdc iufntmkfs y?& y

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd--KI-??8

Zdms `oy suiimnc tk `ktmvotc tdc jcimfmtmkf Ucq-2P, mf cq-2 wc fkw toecU P wmtd os mf cq-:, tdot ms ,U

P5

Zdcf cq-2 bmvcsU P5 ^m`maoray, smfncU P, wc bct ikr Uscc cq-:P

U P5 Ojjmfb tdcsc twk ikr`uaos ofj jmvmjmfb tdc su` ly

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd- ) M.Y.X , Xortmnuaor-skautmkf0;

Bmvcf7-

U P5Mfmtmoa-Nkfjmtmkf7-

U P5

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd- + . tdot ms,

U P5mts o Ouxmamory-cquotmkf 0 ndorontcrmstmn-cquotmkf kicq-?.

Nosc-M 7 U Jmstmfnt rcoa-rkkts P7-

Mi tdc rkkts `?, ` orc rcoa ofj jmstmfnt, tdcf,

U P5 tdcsc orc tdc Losms ki skautmkfs ki jmiicrcftmoacquotmkfs UCq-?P ikr oaa x ikr wdmnd tdc iufntmkf orc jcimfcj. Zdc nkrrcspkfjmfb bcfcroa-skautmkfms bmvcf mf lcakw cq-:5

U P5 mts o Bcfcroa-^kautmkf ki cq-? mf Nosc-M 5Rdcrc {7. n?, n dos o jkulac rkkt U P,tdcf wc bct o imrst skautmkf tdot ms sdkwf mf cq-35U P5 mts kfc ki tdc skautmkf ki cq-? 5Ofj o ,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd- dos o jkulac rkktU{7. }5P{7. orc orlmtrory nkfstoft }5

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-P lcakw.

U +5 mts o bcfcroa-skautmkf ki Fkf-dk`kbcfckus cquotmkf UCq-?P.U +5 mts o Bcfcroa-^kautmkf ki tdc Dk`kbcfckus-cquotmkf Ucq-, ly ossmbfmfb spcnmimn voaucstk tdc orlmtrory nkfstofts n?& n , scn.

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-,

U P5U P5U P5..

U P5

N 0 .Ikr Xortmnuaor-Yoauc Ki yp 7-U P5U P5

Ikr y 7-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-.-------------Imfmsdcj-dcrc-------Cx # ? ) U Oppamnotmkfs-Ki-\uac-O +7-

^kavc tdc Fkf-dk`kbcfckus cquotmkf UCq-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd- mf scn #

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd- + M8

, tdc quoftmty ms noaacj tdc m`pcjofncU P . Kur ikr`uao sdkws tdot tdc m`pcjofnc cquoas tdc rotmk C8/M8, wdmnd ms sk`c wdot

ofoakbkus tk C/M0\ (Kd`s-Aow).

U P5U P5 O Bcfcroa-skautmkf ki tdc dk`kbcfckus-cquotmkf nkrrcspkfjmfb tk cq-? ms Md

wdcrc orc tdc rkkts ki ndorontcrmstmn cquotmkf Ubmvcf lcakw P .U +5 mts o bcfcroa skautmkf ki cq-OU +5 mts o ndorontcrmstmn cq ki cq-L.----------------------------------

U P5U P5mts dk`kbcfckus cq ki cq-?.Jmvmjc cq-O ly A

U P5 mts dk`kbcfckus cq ki cq-?.------------------------------

Rdmnd wc nof wrmtc mf tdc ikr` U P ofj U P, wdcrc .U P5 Os mf scn #

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-22tP ( dcfnc 98 Dz 0 98 nynacs/scn),ossu`mfb

zcrk ndorbc ofj nurrcft wdcf t08;

Joto7

Bmvcf 7

U

P5 U t08P 5 UN0

P5 UC80?33P5UA08.? P5 U \0?88 P5

^kautmkf7 ?st

stcp UBcfcroa-skautmkfP

Cq-? ms

Ikr`uao7

U P5^k,

U P5U P5

{7. U P5 U t08P 5 UN0 P5 UC80?33P5UA08.? P5 U \0?88 P5}U P5

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd- mf tdc ikr` os

U P5Rc scc tdot tdc rcoa port ki W ms \ , tdc m`obmfory-port ms tdc \contofnc U ^ P ,

ofj tdc olskautc voauc ms tdc M`pcjofnc * +.

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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UCfbmfccrmfb-@otdc`otmns->,nd-

7/28/2019 Engineering Math -3 ,Ch-2, 2nd Order ODE, 2nd Order Ordinary Differential Equations [ODE]

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