What is the solution for t*(dy)/(dt)+14y= 1/t ?

The solution for t*(dy)/(dt)+14y= 1/t is y= 1/(13t)+(c_{1})/(t^{14)}

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t*(dy)/(dt)+14y= 1/t

t \cdot \frac{d y}{d t} + 14 y = \frac{1}{t}

y = \frac{1}{13 t} + \frac{c _{1}}{t ^{14}}

Solution steps

t \cdot \frac{d y}{d t} + 14 y = \frac{1}{t}

Solve linear ODE:

y = \frac{1}{13 t} + \frac{c _{1}}{t ^{14}}

y = \frac{1}{13 t} + \frac{c _{1}}{t ^{14}}

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What is the solution for t*(dy)/(dt)+14y= 1/t ?
The solution for t*(dy)/(dt)+14y= 1/t is y= 1/(13t)+(c_{1})/(t^{14)}