What is the solution for (dV)/(dt)=20-8/100 V ?

The solution for (dV)/(dt)=20-8/100 V is V=-(e^{(-2t-c_{1})/(25)})/2+250

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(dV)/(dt)=20-8/100 V

\frac{d V}{d t} = 20 - \frac{8}{100} V

V = - \frac{e ^{\frac{- 2 t - c _{1}}{25}}}{2} + 250

Solution steps

\frac{d V}{d t} = 20 - \frac{8}{100} V

Solve separable ODE:

V = - \frac{e ^{\frac{- 2 t - c _{1}}{25}}}{2} + 250

V = - \frac{e ^{\frac{- 2 t - c _{1}}{25}}}{2} + 250

\frac{d y}{d t} = \frac{2 t}{1 + 2 y}

\frac{d y}{d x} + y tan (x) = 0

y 1 - x^{2} \cdot y^{^{'}} + 1 - y^{2} = 0

y^{^{'}} = \frac{sin ( 2 x )}{cos ( 3 y )}

\frac{d y}{d x} = k (10000 y - y^{2})

What is the solution for (dV)/(dt)=20-8/100 V ?
The solution for (dV)/(dt)=20-8/100 V is V=-(e^{(-2t-c_{1})/(25)})/2+250