Question: Use the Laplace transform to solve the given initial-value problem. Use thetable of Laplace transforms in Appendix IIIas needed. y +64 y = f (

Use the Laplace transform to solve the given initial-value problem. Use thetable of Laplace transforms in Appendix IIIas needed.

y+64y=f(t),y(0) = 0,y(0) = 1, where

f(t) =cos(8t),0t<

0,t

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