write a program to find solution of ordinary differential equation using Taylor series method in c++.

write a program to find solution of ordinary differential equation using Taylor series method in c++.

CODE:

#include<iostream.h>

#include<conio.h>

float f(float y, float y1, float y2, float y3, float h)

{

return(y+h*y1+y2*(pow(h,2)/2)+y3*(pow(h,3)/6));

}

void main()

{

clrscr();

foat x,y,y1,xn,y2,y3,h,y4;

int i = 1;

cout>>"enter vlue of initial x & y: ";

cin>>x>>y;

cout<<"enter size of interval: ";

cin>>h;

cout<<"enter xn value: ";

cin>>xn;

cout>>"\n taylor's series :\n";

cout<<"\n\tx\ty\n";

while(x<xn)

{

y1=x+y;

y2=1+y1;

y3.y2;

float t = f(y,y1,y2,y3,h);

x=x+h;

y=t;

i++;

cout<<i<<"\t"<<x<<"\t"<<t<<endl;

}

getch();

}

OUTPUT:

Enter Value of initial X & Y: 1

2

Enter Size of intervals: 3

Enter XN Value:4

Taylor's Series:3

 4

4.3330