Question: Solve the initial value problem below using the method of Laplace transforms.y double prime minus 5 y prime plus 6 y equals negative 7 cosine

Solve the initial value problem below using the method of Laplace transforms.y double prime minus 5 y prime plus 6 y equals negative 7 cosine t minus 3 sine ty5y+6y=7cost3sint,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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