What is the solution for (dV)/(dt)=50-(7V)/(100) ?

The solution for (dV)/(dt)=50-(7V)/(100) is V=-(e^{(-7t-c_{1})/(100)})/7+5000/7

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(dV)/(dt)=50-(7V)/(100)

\frac{d V}{d t} = 50 - \frac{7 V}{100}

V = - \frac{e ^{\frac{- 7 t - c _{1}}{100}}}{7} + \frac{5000}{7}

Solution steps

\frac{d V}{d t} = 50 - \frac{7 V}{100}

Solve separable ODE:

V = - \frac{e ^{\frac{- 7 t - c _{1}}{100}}}{7} + \frac{5000}{7}

V = - \frac{e ^{\frac{- 7 t - c _{1}}{100}}}{7} + \frac{5000}{7}

What is the solution for (dV)/(dt)=50-(7V)/(100) ?
The solution for (dV)/(dt)=50-(7V)/(100) is V=-(e^{(-7t-c_{1})/(100)})/7+5000/7