8. Use modified Euler method to compute y(1) for the following IVP dy dx =x+y, y(0)=1 Use step size, h=0.1. 9. Solve the IVP dy =x-y, y(1)=2 to compute y(1.5). Use modified Euler method with dx step size h=0.1. 10. dy Solve the IVP =x+y, y(0)=1, for the value y(0.5). Use Runge-Kutta fourth order dx method with step size h=0.1. Given the IVP 11. dy= x-sin y, y(0)=.5 dx Estimate y(0.4) using 4th order RK method with step size h=0.2