Please finish all parts of the questiona dn double check your work before you post it.

$Verify that each function is a solution to given differential equation. a. $ y^{\prime \prime}-y=0, y_{1}(t)=e^{t}, y_{2}(t)$

Verify that each function is a solution to given differential equation. a. \( y^{\prime \prime}-y=0, y_{1}(t)=e^{t}, y_{2}(t)=\cosh (t) $ c. $ t y^{\prime}-y=t^{2}, y_{1}(t)=3 t+t^{2} $ b. $ y^{I V}+4 y^{\prime \prime \prime}+3 y=t, y_{1}(t)=\frac{t}{3}, y_{2}(t)=\frac{t}{3}+e^{-t} $

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Please finish all parts of the questiona dn double check your work before you post it.

$Verify that each function is a solution to given differential equation. a. \( y^{\prime \prime}-y=0, y_{1}(t)=e^{t}, y_{2}(t)$

Verify that each function is a solution to given differential equation. a. $ y^{\prime \prime}-y=0, y_{1}(t)=e^{t}, y_{2}(t)=\cosh (t) $ c. $ t y^{\prime}-y=t^{2}, y_{1}(t)=3 t+t^{2} $ b. $ y^{I V}+4 y^{\prime \prime \prime}+3 y=t, y_{1}(t)=\frac{t}{3}, y_{2}(t)=\frac{t}{3}+e^{-t} $

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