Given the differential equation $$ y^{\prime \prime} +10 y^{\prime} +25 y=0, y(0)=2, y^{\prime} (0)=1 $$ Apply the Laplace Transform and solve for $Y(s)=L\{y\}$ $$ Y(S)= $$ Now solve the IVP by using the inverse Laplace Transform $y(t)=L^{-1}\{Y(s)\}$ $$ y(t)= $$ CS.JG.073