Solve the Following Differential Equation by the Laplace Transform$5 y^{\prime \prime}-4 y^{\prime}=\cos 2 t, y(0)=2, y^{\prime}(0)=2$

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The Answer of Solve the Following Differential Equation by the Laplace Transform$5 y^{\prime \prime}-4 y^{\prime}=\cos 2 t, y(0)=2, y^{\prime}(0)=2$

Solve the Following Differential Equation by the Laplace Transform $5 y^{\prime \prime}-4 y^{\prime}=\cos 2 t, y(0)=2, y^{\prime}(0)=2$