# Laplace transform $y^{\prime \prime}+6 y^{\prime}+9 y=8 t e^{2 t} ;$ with $y(0)=0, y^{\prime}(0)=-1$

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Solve the differential equation using Laplace transforms

$y^{\prime \prime}+6 y^{\prime}+9 y=8 t e^{2 t} ;$ with $y(0)=0, y^{\prime}(0)=-1$