What is the solution for 3t(dy)/(dt)+y=sqrt(t) ?

The solution for 3t(dy)/(dt)+y=sqrt(t) is y=(2sqrt(t))/5+(c_{1})/(\sqrt[3]{t)}

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3t(dy)/(dt)+y=sqrt(t)

3 t \frac{d y}{d t} + y = t

Solution steps

3 t \frac{d y}{d t} + y = t

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What is the solution for 3t(dy)/(dt)+y=sqrt(t) ?
The solution for 3t(dy)/(dt)+y=sqrt(t) is y=(2sqrt(t))/5+(c_{1})/(\sqrt[3]{t)}