Question: Problem 9. (10 points) Use the Laplace transform to solve the following initial value problem: y + 16y - 86(1 -2) y(0) = -5, y(0)

Problem 9. (10 points) Use the Laplace transform to solve the following initial value problem: y" + 16y - 86(1 -2) y(0) = -5, y(0) =3 First find Y (s) = [[y()): Y (s ) = - Then use the inverse Laplace transform to find the solution: y(1) (Notation: write u(t-c) for the unit step function u. (f ) with step at ( = c.) Correct Answers: [s*-5+3+8*exp (-2*8] ]/ (9*2+16) . -5'cos (4*t)+3/4*sin (4*t) +u(t-2)*2*sin (4*(t-2))

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