What is the solution for y^'=57500-0.1733y ?

The solution for y^'=57500-0.1733y is y=-(e^{-0.1733t-c_{1}})/(0.1733)+(57500)/(0.1733)

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y^'=57500-0.1733y

y^{^{'}} = 57500 - 0.1733 y

y = - \frac{e ^{- 0.1733 t - c_{1}}}{0.1733} + \frac{57500}{0.1733}

Solution steps

y^{'} (t) = 57500 - 0.1733 y

Solve separable ODE:

y = - \frac{e ^{- 0.1733 t - c_{1}}}{0.1733} + \frac{57500}{0.1733}

y = - \frac{e ^{- 0.1733 t - c_{1}}}{0.1733} + \frac{57500}{0.1733}

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What is the solution for y^'=57500-0.1733y ?
The solution for y^'=57500-0.1733y is y=-(e^{-0.1733t-c_{1}})/(0.1733)+(57500)/(0.1733)