What is the solution for 5t(dy)/(dt)-5y=sqrt(t) ?

The solution for 5t(dy)/(dt)-5y=sqrt(t) is y=-(2sqrt(t))/5+c_{1}t

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5t(dy)/(dt)-5y=sqrt(t)

5 t \frac{d y}{d t} - 5 y = t

y = - \frac{2 t}{5} + c_{1} t

Solution steps

5 t \frac{d y}{d t} - 5 y = t

Solve linear ODE:

y = - \frac{2 t}{5} + c_{1} t

y = - \frac{2 t}{5} + c_{1} t

\frac{\partial}{\partial y} (\frac{y}{x ^{2} + y ^{2}})

\frac{\partial}{\partial x} (x^{3} z + yz)

\frac{d}{d x} (\frac{1}{( 2 x + 1 ) ^{2}})

\frac{d}{d x} (\frac{8}{2 x})

\frac{\partial}{\partial y} (e^{c o s (x - 2 y)})

What is the solution for 5t(dy)/(dt)-5y=sqrt(t) ?
The solution for 5t(dy)/(dt)-5y=sqrt(t) is y=-(2sqrt(t))/5+c_{1}t