What is the solution for 3t((dy)/(dt))+y=t^2 ?

The solution for 3t((dy)/(dt))+y=t^2 is y=(t^2)/7+(c_{1})/(\sqrt[3]{t)}

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3t((dy)/(dt))+y=t^2

3 t (\frac{d y}{d t}) + y = t^{2}

Solution steps

3 t (\frac{d y}{d t}) + y = t^{2}

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What is the solution for 3t((dy)/(dt))+y=t^2 ?
The solution for 3t((dy)/(dt))+y=t^2 is y=(t^2)/7+(c_{1})/(\sqrt[3]{t)}