Question: Solve, using Laplace transforms, the following differential equations: (a) dx dt d.x + 4+ 5x = 8 cost dt subject to x = (b) sd

Solve, using Laplace transforms, the following differential equations:

(a) dx d.x dt +4 +5x = 8 cost dt subject to x = (b) sd dt - dx 3- dt d.x dt = 0 at t = 0 - 2x = 6 subject to

(a) dx dt d.x + 4+ 5x = 8 cost dt subject to x = (b) sd dt - dx 3- dt d.x dt = 0 at t = 0 - 2x = 6 subject to x = 1 and d.x dt = = 1 at t = 0

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