What is the solution for 8t(dy)/(dt)+y=t^7 ?

The solution for 8t(dy)/(dt)+y=t^7 is y=(t^7)/(57)+(c_{1})/(\sqrt[8]{t)}

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8t(dy)/(dt)+y=t^7

8 t \frac{d y}{d t} + y = t^{7}

Solution steps

8 t \frac{d y}{d t} + y = t^{7}

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What is the solution for 8t(dy)/(dt)+y=t^7 ?
The solution for 8t(dy)/(dt)+y=t^7 is y=(t^7)/(57)+(c_{1})/(\sqrt[8]{t)}