What is the solution for (dV)/(dt)=20-5/100 V,V(0)=0 ?

The solution for (dV)/(dt)=20-5/100 V,V(0)=0 is V=-400e^{-t/(20)}+400

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(dV)/(dt)=20-5/100 V,V(0)=0

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

V = - 400 e^{- \frac{t}{20}} + 400

Solution steps

\frac{d V}{d t} = 20 - \frac{5}{100} V

Solve separable ODE:

V = - 400 e^{- \frac{t}{20}} + 400

V = - 400 e^{- \frac{t}{20}} + 400

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

(1 + x^{4}) d y + x (1 + 4 y^{2}) d x = 0, y (1) = 1

\frac{d x}{d t} = 12 \cdot x \cdot t

\frac{d y}{d x} = 12 y x^{2}

y = x^{3} \cdot e^{- 2 x} cos (3 x) \frac{d y}{d x}

What is the solution for (dV)/(dt)=20-5/100 V,V(0)=0 ?
The solution for (dV)/(dt)=20-5/100 V,V(0)=0 is V=-400e^{-t/(20)}+400