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Given the differential equation y’’ +5y’+6y=te^t with start value y(0) = 0 and y’(0). Let Y(s)...

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Basic Math

Given the differential equation y’’ +5y’+6y=te^t with startvalue y(0) = 0 and y’(0). Let Y(s) be the Laplace transformed ofy(t).

a) Find an expression for Y(s)

b) Find the solution to the equation by using inverse Laplacetransform.

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