4. (a) Solve the following initialvalue problems using the Euler method { y':100y100t+409, OStSL (1) 31(0) 2 4.1. Write down the scheme and nd the approximate values for h=0.25 (N=4). (Don't use the code). The actual solution is y(t) = t +4.1. How accurate are those approximate values? Note. Don't give the following Euler method as your answer \")0 : y(0) : 0') wi+12wz~+hf(ti,wi), Z20,1,....,N1 (b) Solve the following initialvalue problems using the Euler method y(0) = 4.1. Write down the scheme and nd the approximate values for h:0.25 (N24). (Don't use the code). The actual solution is y(t) : 4.1 6100t. Use the stability condition for the Euler method to explain the oscillation of those approximate values