Use the Laplace transform to find the solution of the IVP: a.) 2y' + y =...

Use the Laplace transform to find the solution of the IVP:

a.) 2y' + y = 1, y(0) = 2 (answer should be y(t) = 1 + e^{-t
/ 2} )

f.) 4y" + y = 0, y(0) = -1, y'(0) = -1 (answer should be y(t) = -sin(t) - cos(t))

Please show work!

Expert Solution

Colby Messinger answered 9 months ago

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