What is the solution for 7t(dy)/(dt)-3y=sqrt(t) ?

The solution for 7t(dy)/(dt)-3y=sqrt(t) is y=2sqrt(t)+c_{1}t^{3/7}

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7t(dy)/(dt)-3y=sqrt(t)

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

y = 2 t + c_{1} t^{\frac{3}{7}}

Solution steps

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

Solve linear ODE:

y = 2 t + c_{1} t^{\frac{3}{7}}

y = 2 t + c_{1} t^{\frac{3}{7}}

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What is the solution for 7t(dy)/(dt)-3y=sqrt(t) ?
The solution for 7t(dy)/(dt)-3y=sqrt(t) is y=2sqrt(t)+c_{1}t^{3/7}