Question: Problem 2: ( 10 points) Pure-time differential equation} Consider the following equation d e-3t dt y(t) = 1 + p-3+ + sin(t) + 7t

$Problem 2: ( 10 points) Pure-time differential equation} \\ Consider the$

Problem 2: ( 10 points) Pure-time differential equation} \\ Consider the following equation d e-3t dt y(t) = 1 + p-3+ + sin(t) + 7t (a) Find the general solution y(t). (b) Find the unique function y(t) that satisfies the above equation and y(0) = 0

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