Please write maple codes for the parts below.

(a) Write a maple code to do the normal Euler's method for the above ODE. Get to the value at t=1 with a step size of h=0.05, h=0.025, and h=0.0125. Keep rack of your errors in each case. You should see approximately the proper decrease in error as you decrease the step size.

(b) Do the same for the backwards Euler, Heun's method, and Runge-Kutta method. You should be able to reuse most of your code for each of the steps. Record the error here as well.

(c) What do you notice about the errors as you decrease the size of h for the mthods you used?

Look at the ODE y 4-+ 2t 5y