Consider the IVP: y" - 2y + +y = tet − 1 0 ≤ t ≤1 y(0) = y'(0) = 0 (a) Transform this problem into an IVP for a first order system of ODEs (b) Take the time step size At = 0.1. Do one step of the midpoint method - 1 1 +1 y”+¹ = y² + Atƒ(tn + — At,y" + — Atf(tn, y")) 2 2 (c) Using (b) compute an approximation of the solution at t = 0.3 with the explicit 2-step Adams method

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