What is the solution for (dV)/(dt)=1-0.4*V ?

The solution for (dV)/(dt)=1-0.4*V is V=-(5e^{(-2t-c_{1})/5})/(2)+5/2

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(dV)/(dt)=1-0.4*V

\frac{d V}{d t} = 1 - 0.4 \cdot V

V = - \frac{5 e ^{\frac{- 2 t - c _{1}}{5}}}{2} + \frac{5}{2}

Solution steps

\frac{d V}{d t} = 1 - 0.4 \cdot V

Solve separable ODE:

V = - \frac{5 e ^{\frac{- 2 t - c _{1}}{5}}}{2} + \frac{5}{2}

V = - \frac{5 e ^{\frac{- 2 t - c _{1}}{5}}}{2} + \frac{5}{2}

y^{^{'}} = \frac{3 t ^{2} y}{y + 1}

\frac{d y}{d x} y^{2} - x^{3} = 28

\frac{d}{d x} (x y^{4}) = 5

\frac{d y}{d x} = \frac{x}{y}, y (0) = 1

\frac{d x}{d t} = \frac{3}{x e ^{t + 2 x}}

What is the solution for (dV)/(dt)=1-0.4*V ?
The solution for (dV)/(dt)=1-0.4*V is V=-(5e^{(-2t-c_{1})/5})/(2)+5/2