Solve the following the initial value problem using Modified Euler's method: y+2y=xex, 0x1, y(0)=0 with step size h = 0.2. Given the initial value problem dy 5x dx - y y(0) = 1. ex+y Use RK 4 method to find an approximate value of y(0.2) with step size h=0.1. " Apply fourth-order Runge-Kutta method (RK4) to find the values of y(0.1) and y(0.2) for the following initial value problem dy -y=ex, dx with initial value y(0) = -1 and step size, h = 0.1 0x0.2