Write a C program on Numerical solution of ODE using Euler method by MistarAV

 #include<stdio.h>
#include<conio.h>
#define f(x,y) x+y
int main()
{
clrscr();
float x0, y0, xn, h, yn, slope;
int i, n;
printf("Enter Initial Condition\n");
printf("x0 = ");
scanf("%f", &x0);
printf("y0 = ");
scanf("%f", &y0);
printf("Enter calculation point xn = ");
scanf("%f", &xn);
printf("Enter number of steps: ");
scanf("%d", &n);
/* Calculating step size (h) */
h = (xn-x0)/n;
/* Euler's Method */
printf("\nx0\ty0\tslope\tyn\n");
printf("------------------------------\n");
for(i=0; i < n; i++)
{
slope = f(x0, y0);
yn = y0 + h * slope;
printf("%.4f\t%.4f\t%0.4f\t%.4f\n",x0,y0,slope,yn);
y0 = yn;
x0 = x0+h;
}
/* Displaying result */
printf("\nValue of y at x = %0.2f is %0.3f",xn, yn);
getch();
}

Output

Enter Initial Condition
x0 = 0
y0 = 1
Enter calculation point xn = 1
Enter number of steps: 10
x0 y0 slope yn
------------------------------
0.0000 1.0000 1.0000 1.1000
0.1000 1.1000 1.2000 1.2200
0.2000 1.2200 1.4200 1.3620
0.3000 1.3620 1.6620 1.5282
0.4000 1.5282 1.9282 1.7210
0.5000 1.7210 2.2210 1.9431
0.6000 1.9431 2.5431 2.1974
0.7000 2.1974 2.8974 2.4872
0.8000 2.4872 3.2872 2.8159
0.9000 2.8159 3.7159 3.1875
Value of y at x = 1.00 is 3.187