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PROGRAM NO. 25

NAME : HARSHVARDHAN S PATIL

CLASS : T.E. ‘B’

ROLL NO. : 28

TITLE : Program on ODE ! R"ng# $ %"&&a 2nd

Or'#r M#&(o' )or  Simultaneous  '*+#r#n&*a, #-"a&*on

INPUT :-

fprintf ('Program on R-K 2nd Order Method for

simultaneous differential equations :');

f = input ('n n !nter the fun"tion d#$d% = ');

g = input (' !nter the fun"tion d&$d% = ');

 

% = input ('n !nter the alue of % = ');

# = input (' !nter the alue of # = ');

& = input (' !nter the alue of & = ');

%g = input (' !nter the alue of %g = ');

h = input (' !nter the alue of step si&e h = ');

n = (%g - %)$h;

 

for i=:n

  * = h + f(%,#,&);

  l = h + g(%,#,&);

 

*2 = h + f((% h),(# *),(& l));

  l2 = h + g((% h),(# *),(& l));

8/18/2019 RK Simultaneous 2nd ORDER

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* = (* *2)$2;

  l = (l l2)$2;

 

% = % h;

  # = # *;

  & = & l;

  #g = #;

  &g = &;

end;

fprintf ('n .he final alue of #g = /f', #);

fprintf ('n .he final alue of &g = /f', &);

OUTPUT :-

Program on R-K 2nd Order Method for simultaneous

differential equations :

 

!nter the fun"tion d#$d% = 0(%,#,&)(&)

 !nter the fun"tion d&$d% = 0(%,#,&)((1-1+#+%+&)$2)

 !nter the alue of % =

 !nter the alue of # =

 !nter the alue of & = -2

 !nter the alue of %g = 3

 !nter the alue of step si&e h = 3

 .he final alue of #g = 34

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 .he final alue of &g = -315