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(a) Determine the inverse Laplace transform of F(s) =(2s?1)/s^2 ?4s + 6 (b) Solve the initial value...

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Basic Math

(a) Determine the inverse Laplace transform of F(s) =(2s?1)/s^2?4s + 6
(b) Solve the initial value problem using the method of Laplacetransform. d^2y/dx^2 ?7dy/dx + 10y = 0, y(0) = 0, dy/dx(0) =?3.
(c) Solve the initial value problem:
1/4(d^2y/dx^2)+dy/dx+4y = 0, y(0) = ?1/2,dy/dx(0) = ?1.

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