Differential Equations: Please show me how to solve the following practice problems in step by step solution ( Thank you so much!) 1. Solve the initial value problem using method of Laplace transforms...

Differential Equations: Please show me how to solve the following practice problems in step by step solution ( Thank you so much!)

Extracted text: 1. Solve the initial value problem using method of Laplace transforms (c) y" – y' = t – 2 ; y(2) = 3,y'(2) = 0