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

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

Solution steps

5 t \cdot \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

f (x) = x^{x^{2}}

f (x) = 9 x + 4, (5, 7)

\frac{\partial}{\partial v} (\frac{v - u}{2})

x \to + 0 lim (x^{2} \cdot ln (x))

\frac{d}{d x} (12 x^{3} + 4 - ln (3 x + 7))

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