Question: Please answer in full, will upvote Solve the following initial value problems by using Laplace transforms: (5.1) x(t) +5x'(f) + 6x(t) = e-2(1-1), with x(1)

Please answer in full, will upvote

Solve the following initial value problems by using Laplace transforms: (5.1) x"(t) +5x'(f) + 6x(t) = e-2(1-1), with x(1) = 0, and x'(1) = 0. (5.2) 2x"(t) + 3x'(t) - 2x(t) = te-21, with x(0) = 0, and x'(0) = 1. (5.3) x"(t) + 4x'(t) = -2t - sin(t - 4), with x(4) = 0, and x'(4) = 1

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