Question: QUESTION 2. Consider the initial value problem y' = -y/2+t, y(0) = 0. Throughout this question we will take do(t) = 0 and use the

QUESTION 2. Consider the initial value problem y' = -y/2+t, y(0) = 0. Throughout this question we will take do(t) = 0 and use the method of successive iteration (Picard iteration) to solve the IVP. a) Determine 1(t), 62(t), and 63(t). b) Use mathematical induction to prove the form of on (t) for any value of n. c) Express o(t) = limn-+co on(t) in terms of elementary functions. That is, solve the IVP

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