What is the solution for (dV)/(dt)=60-3/100 V ?

The solution for (dV)/(dt)=60-3/100 V is V=-(e^{(-3t-c_{1})/(100)})/3+2000

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(dV)/(dt)=60-3/100 V

\frac{d V}{d t} = 60 - \frac{3}{100} V

V = - \frac{e ^{\frac{- 3 t - c _{1}}{100}}}{3} + 2000

Solution steps

\frac{d V}{d t} = 60 - \frac{3}{100} V

Solve separable ODE:

V = - \frac{e ^{\frac{- 3 t - c _{1}}{100}}}{3} + 2000

V = - \frac{e ^{\frac{- 3 t - c _{1}}{100}}}{3} + 2000

y^{^{'}} = \frac{x y ^{2}}{1 + x ^{2}}, y (0) = 1

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

\frac{d y}{d x} + 20 x y = 0

y^{^{'}} = 2 x y - 4 x

y^{^{'}} sec (x) = 8 y^{2}, y (\frac{π}{2}) = \frac{1}{3}

What is the solution for (dV)/(dt)=60-3/100 V ?
The solution for (dV)/(dt)=60-3/100 V is V=-(e^{(-3t-c_{1})/(100)})/3+2000