Question: Solve the initial value problem below using the method of Laplace transforms.y double prime minus y prime minus 6 y equals negative 8 cosine t

Solve the initial value problem below using the method of Laplace transforms.y double prime minus y prime minus 6 y equals negative 8 cosine t minus 6 sine tyy6y=8cost6sint,y left parenthesis StartFraction pi Over 2 EndFraction right parenthesis equals 1y2=1,y prime left parenthesis StartFraction pi Over 2 EndFraction right parenthesis equals 0

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