Question: Consider the initial value problem y(t) = 2+ y(t), y(0) = 0, == and suppose you wish to solve it up to time T

Consider the initial value problem y(t) = 2+ y(t), y(0) = 0,

Consider the initial value problem y(t) = 2+ y(t), y(0) = 0, == and suppose you wish to solve it up to time T = 1. Apply both the second-order Runge-Kutta method (RK2) with parameters = 2 1/2, a = v = 1, and the second-order Runge-Kutta method (RK2)with parameters B = 1/4, = 3/4, = v = 2/3 to obtain approximate solutions. Use n = 2 steps, and obtain the resulting approximations to the solution at T = 1. What is the resulting error in each case?

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