Question: Please answer the following: (e) Solve the following linear, first-order differential equations, and ensure that the initial condi- tions are satisfied (Hint: Use y(t) =

Please answer the following:

(e) Solve the following linear, first-order differential equations, and ensure that the initial condi- tions are satisfied (Hint: Use y(t) = (yo - 2)e-at + b/a) [2 marks]: dy _ 5y = -3 dt (6) and y(2) = 1

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