Solve the equation dydx 2 3x 4y y0 l 0 le x le 10 by Fou

Solve the equation dy/dx = 2 - 3x + 4y; y(0) = l; 0 le x le 1.0 by Fourth Order Runge-Kutta method (RK4) with a step size of h = delta x = 0.25.

Solution

On applying the runge kutt method we get the above values

i	x	y
0	0	1
1	0.25	1.1125
2	0.5	1.2003
3	0.75	1.2531
4	1	1.3009