Modified Euler’s Method
#include<stdio.h>
#include<conio.h>
#define F(x) x+y
int main (void)
{
float a,c,b,h,x,f,i,y,y1,y11=0.01,m,n,f2;
clrscr();
printf("Enter the value of a & c as y(a)=c: ");
scanf("%f %f",&a,&c);
printf("Enter the value of b as y(b)=?");
scanf("%f",&b);
printf("Enter the value of h: ");
scanf("%f",&h);
x=a;
y=c;
for(i=a;i<b;i=i+h)
{
f= F(x);
y1=c+ h*f;
x=x+h;
y=y1;
m=0.0001;n=0.0 ;
while(m>=n)
{
m=y; //primarry
f2=F(x);
y11=c+h*(f+f2)/2;
y=y11;
m=y11;
f2=F(x); //secondary
y11=c+h*(f+f2)/2;
y=y11;
n=y11;
}
c=y11;
y=y11;
}
printf("\nRequired ans: %f",c);
getch();
return 0;
}