What is the solution for 6t(dy)/(dt)+y=t^4 ?

The solution for 6t(dy)/(dt)+y=t^4 is y=(t^4)/(25)+(c_{1})/(\sqrt[6]{t)}

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6t(dy)/(dt)+y=t^4

6 t \frac{d y}{d t} + y = t^{4}

Solution steps

6 t \frac{d y}{d t} + y = t^{4}

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What is the solution for 6t(dy)/(dt)+y=t^4 ?
The solution for 6t(dy)/(dt)+y=t^4 is y=(t^4)/(25)+(c_{1})/(\sqrt[6]{t)}