Find the Laplace transform of 6e'cos2t - e 6(8– 5) (8 - 5)2+4 8-7 6s В (8 – 5) 2+4 S- 7 s2+4 s-7 (s - 5) (s - 5) 2+4 s+7

Q: Use the Laplace transform to solve the initial value problem y'" + y' – 2y = 2e*, y(0) - - 1, y'(0)…

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Q: 1 1 1 1 1 (z + 1)(z + 3) z +4 (z + 1)(z + 3) 1 1 2 z + 1 2 z + 3 3 1 1 1 2 z + 1 2 z +3' 1 1 1 1 +…

A: By using partial fraction method we solve the required problem as follows :

Q: Find the inverse Laplace transform of F (s) = 5s+2 %3D s² (s²–1) Of (t) = 5 – 2t - že' +e Of (t) =…

A:

Q: Find the Laplace transform of the following: 1. f(t) = 5t²u,(t) + 3(t – 4)³u8(t) — 9 sin ( - ) u₁(t)…

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Q: The Laplace transform of L(t – 7)²e-4t _is 2! 14 49 (s + 4)³ 3 (s + 4)² (s + 4) 2! 14 49 (s + 4)³…

A: