12. Write a program to demonstrate Euler's Method.

          
        /* Program to execte Euler's Method*/
	#include<stdio.h>
	#include<conio.h>
	#include<math.h>
	float dif ( float x,float y )
	{
	    return x+y;
	}
	void main()
	{
	    float x  ,h,x0,x1,y0,y1;
	    printf("Enter the values of x,h,x0,y0: ");
	    scanf("%f%f%f%f", &x, &h, &x0,&y0);
	    x1=x0;
	    y1=y0;
	    while(x1 < x) {
	        y1 += h*dif(x1,y1);
	        x1 += h;
	        printf("\n Values of y=%f, when x=%f",y1,x1);
	    }
	    getch();
	}
            
            

Output

            
            Enter the values of x,h,x0,y0: 1 0.1 0 1
	Values of y=1.100000, when x=0.100000
	 Values of y=1.220000, when x=0.200000
	 Values of y=1.362000, when x=0.300000
	 Values of y=1.528200, when x=0.400000
	 Values of y=1.721020, when x=0.500000
	 Values of y=1.943122, when x=0.600000
	 Values of y=2.197434, when x=0.700000
	 Values of y=2.487178, when x=0.800000
	 Values of y=2.815895, when x=0.900000
	 Values of y=3.187485, when x=1.000000