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C Program for Runge-Kutta-4 (RK-4) Method

Program for Runge-Kutta-4 (RK-4) Method
#include <stdio.h>
#include <conio.h>
#include <math.h>

float f(float x,float y)
{
  return ((y*y-x*x)/(y*y+x*x));
  //y'=f(x,y)=equation
}

void main()
{
  float x0,y0,h,xn,yn;
  printf("Enter x0 and y0: ");
  scanf("%f%f",&x0,&y0); //y(x0)=y0
  printf("Enter xn: ");
  scanf("%f",&xn);
  printf("Enter interval(h): ");
  scanf("%f",&h);
  do
  {
    float m1=f(x0,y0);
    float m2=f(x0+h/2,y0+m1*h/2);
    float m3=f(x0+h/2,y0+m2*h/2);
    float m4=f(x0+h,y0+m3*h);
    float m=(m1+2*m2+2*m3+m4)/6;
    yn=y0+m*h;

    //for next iteration
   
    x0=x0+h;
    y0=yn;
  }while(x0<xn);
printf("\n\nHence, y(%0.1f)=%0.4f",xn,yn);
getch();
}

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