What is the solution for (dy)/(dt)=1600-(4y)/(170) ?

The solution for (dy)/(dt)=1600-(4y)/(170) is y=-(e^{(-2t-c_{1})/(85)})/2+68000

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(dy)/(dt)=1600-(4y)/(170)

\frac{d y}{d t} = 1600 - \frac{4 y}{170}

y = - \frac{e ^{\frac{- 2 t - c _{1}}{85}}}{2} + 68000

Solution steps

\frac{d y}{d t} = 1600 - \frac{4 y}{170}

Solve separable ODE:

y = - \frac{e ^{\frac{- 2 t - c _{1}}{85}}}{2} + 68000

y = - \frac{e ^{\frac{- 2 t - c _{1}}{85}}}{2} + 68000

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What is the solution for (dy)/(dt)=1600-(4y)/(170) ?
The solution for (dy)/(dt)=1600-(4y)/(170) is y=-(e^{(-2t-c_{1})/(85)})/2+68000