Engineering, 18.04.2020 04:56, vanna7353

(10 pts) Follow the steps to solve the IVP: x ′′ − x ′ − 6x = (t − 3) cos(πt) , x(0) = 1, x ′ (0) = 3. a. Find the Laplace transform, ℒ{x(t)}, of the solution. Do not perform partial fraction decomposition yet. b. Solve for the solution, x(t), using the inverse Laplace transform. Use h(t − c) for the Heaviside function.

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(10 pts) Follow the steps to solve the IVP: x ′′ − x ′ − 6x = (t − 3) cos(πt) , x(0) = 1, x ′ (0) =...