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Given the differential equation $$ y^{prime prime} +5 y^{prime} +4 y=-2 sin (3 t), quad y(0)=0, quad y^{prime} (0)=-1 $$ Apply the Laplace Transform and

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Given the differential equation $$ y^{\prime \prime} +5 y^{\prime} +4 y=-2 \sin (3 t), \quad y(0)=0, \quad y^{\prime} (0)=-1 $$ Apply the Laplace Transform and solve for $Y(s)=L\{y\}$ $$ Y(S) = $$ CS. JG.097

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