What is the solution for t*(dy)/(dt)+37y= 1/t ?

The solution for t*(dy)/(dt)+37y= 1/t is y= 1/(36t)+(c_{1})/(t^{37)}

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t*(dy)/(dt)+37y= 1/t

t \cdot \frac{d y}{d t} + 37 y = \frac{1}{t}

y = \frac{1}{36 t} + \frac{c _{1}}{t ^{37}}

Solution steps

t \cdot \frac{d y}{d t} + 37 y = \frac{1}{t}

Solve linear ODE:

y = \frac{1}{36 t} + \frac{c _{1}}{t ^{37}}

y = \frac{1}{36 t} + \frac{c _{1}}{t ^{37}}

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What is the solution for t*(dy)/(dt)+37y= 1/t ?
The solution for t*(dy)/(dt)+37y= 1/t is y= 1/(36t)+(c_{1})/(t^{37)}