Question

Solve for​ Y(s), the Laplace transform of the solution​ y(t) to the initial value problem below....

Solve for​ Y(s), the Laplace transform of the solution​ y(t) to the initial value problem below. y''-9y'+18y=5te^(3t), y(0)=2, y'(0)=-4

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Answer #1

we are given differential equation as

we can take Laplace transform both sides

now, we can plug

y(0)=2 and y'(0)=-4

we can solve for Y(s)

now, we can take inverse Laplace transform

.............Answer

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