What is the solution for 5t*(dy)/(dt)+4y=sqrt(t) ?

The solution for 5t*(dy)/(dt)+4y=sqrt(t) is y=(2t^{1/2})/(13)+(c_{1})/(t^{4/5)}

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5t*(dy)/(dt)+4y=sqrt(t)

5 t \cdot \frac{d y}{d t} + 4 y = t

y = \frac{2 t ^{\frac{1}{2}}}{13} + \frac{c _{1}}{t ^{\frac{4}{5}}}

Solution steps

5 t \cdot \frac{d y}{d t} + 4 y = t

Solve linear ODE:

y = \frac{2 t ^{\frac{1}{2}}}{13} + \frac{c _{1}}{t ^{\frac{4}{5}}}

y = \frac{2 t ^{\frac{1}{2}}}{13} + \frac{c _{1}}{t ^{\frac{4}{5}}}

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What is the solution for 5t*(dy)/(dt)+4y=sqrt(t) ?
The solution for 5t*(dy)/(dt)+4y=sqrt(t) is y=(2t^{1/2})/(13)+(c_{1})/(t^{4/5)}