#include<stdio.h>
#include<conio.h>
#include<math.h>
float f(float x,float y)
{
return((1+0.3*x*x*x+0.4*y*y*y)/(1+0.3*x*x+0.4*y*y));
}
void main()
{
float x0,y0,h,x,y1,k1,k2,k3,k4;
clrscr();
printf("\nEnter the initial value of x:");
scanf("%f",&x0);
printf("\nEnter the initial value of y:");
scanf("%f",&y0);
printf("\nEnter the value to be determined:");
scanf("%f",&x);
printf("\nEnter the step length:");
scanf("%f",&h);
while(x0<x)
{
k1=h*f(x0,y0);
k2=h*f(x0+h/2,y0+k1/2);
k3=h*f(x0+h/2,y0+k2/2);
k4=h*f(x0+h,y0+k3);
x0+=h;
y1=y0+(k1+2*k2+2*k3+k4)/6;
printf("\n\t\t y(%0.1f)=%0.5f",x0,y1);
y0=y1;
}
printf("\n\n\n Hence the required value of y(%0.1f)=%0.5f(correct to 5D)",x0,y1);
getch();
}
#include<conio.h>
#include<math.h>
float f(float x,float y)
{
return((1+0.3*x*x*x+0.4*y*y*y)/(1+0.3*x*x+0.4*y*y));
}
void main()
{
float x0,y0,h,x,y1,k1,k2,k3,k4;
clrscr();
printf("\nEnter the initial value of x:");
scanf("%f",&x0);
printf("\nEnter the initial value of y:");
scanf("%f",&y0);
printf("\nEnter the value to be determined:");
scanf("%f",&x);
printf("\nEnter the step length:");
scanf("%f",&h);
while(x0<x)
{
k1=h*f(x0,y0);
k2=h*f(x0+h/2,y0+k1/2);
k3=h*f(x0+h/2,y0+k2/2);
k4=h*f(x0+h,y0+k3);
x0+=h;
y1=y0+(k1+2*k2+2*k3+k4)/6;
printf("\n\t\t y(%0.1f)=%0.5f",x0,y1);
y0=y1;
}
printf("\n\n\n Hence the required value of y(%0.1f)=%0.5f(correct to 5D)",x0,y1);
getch();
}
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