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

The solution for 3t*(dy)/(dt)-y=sqrt(t) is y=2t^{1/6}\sqrt[3]{t}+c_{1}\sqrt[3]{t}

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3t*(dy)/(dt)-y=sqrt(t)

3 t \cdot \frac{d y}{d t} - y = t

Solution steps

3 t \cdot \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=2t^{1/6}\sqrt[3]{t}+c_{1}\sqrt[3]{t}