[ODE Question]Consider ODE.

a) Using Euler's Method with step size h=0.05 approximate the value of y(0.1)

b)

c)

1. (25 points) Consider the ODE {y' = 2y 3t, y(0) = 1, (a) Using Euler's Method with step size h = 0.05 approximate the value of y(0.1). (b) Using the Improved Euler Method with step size it = 0.05 approximate the value of y(0.1). (c) Solve the ODE analytically and nd the correct value of y(0.1)