4.1:

Repeat R4.1, using a 4th-order fixed-step Runge-Kutta method instead of Euler's method. Compare with Euler's method. Also compare with the solution obtained using Matlab's ode45 or another adaptive-step Runge- Kutta code. A fixed-step Runge-Kutta code, RK4.m, is available on Black- board. From Sauer computer problems 6.1: Using Euler's method, solve the following IVPs on the interval [0,1] where y(0) = 1 and a) y' = t b) y' = 2(t+1)y c) y' = 1/y2 d) y' = t+y for step sizes h = 0.1 x 2-k, for 0