What is the solution for 7t*(dy)/(dt)-y=sqrt(t) ?

The solution for 7t*(dy)/(dt)-y=sqrt(t) is y= 2/5 t^{5/14}\sqrt[7]{t}+c_{1}\sqrt[7]{t}

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7t*(dy)/(dt)-y=sqrt(t)

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

Solution steps

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

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What is the solution for 7t*(dy)/(dt)-y=sqrt(t) ?
The solution for 7t*(dy)/(dt)-y=sqrt(t) is y= 2/5 t^{5/14}\sqrt[7]{t}+c_{1}\sqrt[7]{t}