What is the solution for (dV)/(dt)=(10-4/100 V),V(0)=0 ?

The solution for (dV)/(dt)=(10-4/100 V),V(0)=0 is V=-250e^{-t/(25)}+250

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(dV)/(dt)=(10-4/100 V),V(0)=0

\frac{d V}{d t} = (10 - \frac{4}{100} V), V (0) = 0

V = - 250 e^{- \frac{t}{25}} + 250

Solution steps

\frac{d V}{d t} = (10 - \frac{4}{100} V)

Solve separable ODE:

V = - 250 e^{- \frac{t}{25}} + 250

V = - 250 e^{- \frac{t}{25}} + 250

\frac{d v}{df} = v \cdot f

y e^{x} \frac{d y}{d x} = e^{- y} + e^{- 3 x - y}

y = \frac{( x + 1 ) ^{3}}{x ^{\frac{3}{2}}} \frac{d y}{d x}

y^{^{'}} = y^{3} e^{- x}

\frac{d V}{d t} = 20 - \frac{5}{100} V, V (0) = 0

What is the solution for (dV)/(dt)=(10-4/100 V),V(0)=0 ?
The solution for (dV)/(dt)=(10-4/100 V),V(0)=0 is V=-250e^{-t/(25)}+250