Question: Instructions: Please show proper and complete solution 1. Find the Laplace Transform of 10 cos r- 2. Given fS =- 57-9 a Factor out s*-9

Instructions: Please show proper and complete solution

1. Find the Laplace Transform of 10 cos r- 2. Given fS =- 57-9 a Factor out s*-9 b. Derive the partial fraction expansion of f s. c. Solve for I" [f s ]. 3. Given the differential equation y +9y=e'. yo =y 0=0. a. What type of differential equation is given (degree, linearity, homogeneity)? b. Solve analytically based on your answer in 3.a. C. Solve using Laplace transform

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