What is the solution for (dx)/(dt)+1/t x=t^3x^4 ?

The solution for (dx)/(dt)+1/t x=t^3x^4 is x= 1/(t\sqrt[3]{-3t+c_{1)}}

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(dx)/(dt)+1/t x=t^3x^4

\frac{d x}{d t} + \frac{1}{t} x = t^{3} x^{4}

Solution steps

\frac{d x}{d t} + \frac{1}{t} x = t^{3} x^{4}

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What is the solution for (dx)/(dt)+1/t x=t^3x^4 ?
The solution for (dx)/(dt)+1/t x=t^3x^4 is x= 1/(t\sqrt[3]{-3t+c_{1)}}