What is the solution for (dV)/(dt)=80-8/100 V ?

The solution for (dV)/(dt)=80-8/100 V is V=-(e^{(-2t-c_{1})/(25)})/2+1000

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(dV)/(dt)=80-8/100 V

\frac{d V}{d t} = 80 - \frac{8}{100} V

V = - \frac{e ^{\frac{- 2 t - c _{1}}{25}}}{2} + 1000

Solution steps

\frac{d V}{d t} = 80 - \frac{8}{100} V

Solve separable ODE:

V = - \frac{e ^{\frac{- 2 t - c _{1}}{25}}}{2} + 1000

V = - \frac{e ^{\frac{- 2 t - c _{1}}{25}}}{2} + 1000

What is the solution for (dV)/(dt)=80-8/100 V ?
The solution for (dV)/(dt)=80-8/100 V is V=-(e^{(-2t-c_{1})/(25)})/2+1000