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4 points) In this exercise we will use the Laplace transform to solve the following initial value problem: y-2y, + 17y-17, y

In this exercise we will use the Laplace transform to solve the following initial value problem: y"-2y'+ 17y-17, y(0)=0, y'(0)=1 

(1) First, using Y for the Laplace transform of y(t), i.e., Y =L(y(t)), find the equation obtained by taking the Laplace transform of the initial value problem 

(2) Next solve for Y= 

(3) Finally apply the inverse Laplace transform to find y(t)


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A t0-0 ナ 2 (S-1)

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