What is the solution for (dv)/(dt)=32-4/5 v ?

The solution for (dv)/(dt)=32-4/5 v is v=-(e^{(-4t-c_{1})/5})/(4)+40

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(dv)/(dt)=32-4/5 v

\frac{d v}{d t} = 32 - \frac{4}{5} v

v = - \frac{e ^{\frac{- 4 t - c _{1}}{5}}}{4} + 40

Solution steps

\frac{d v}{d t} = 32 - \frac{4}{5} v

Solve separable ODE:

v = - \frac{e ^{\frac{- 4 t - c _{1}}{5}}}{4} + 40

v = - \frac{e ^{\frac{- 4 t - c _{1}}{5}}}{4} + 40

\frac{\partial}{\partial x} (x^{5} y^{5} + 4 x^{7} y)

\int \frac{1}{( x - 5 ) ^{\frac{3}{2}}} d x

\frac{d}{d x} (\frac{( 3 x - 2 ) ( 2 x - 3 )}{- 2 x ^{2} + 4 x})

x y^{^{'}} + (1 + 2 x) y = 10 e^{- 2 x}

x \to + 1 lim (+ (\frac{1}{x ^{2} - 1}))

What is the solution for (dv)/(dt)=32-4/5 v ?
The solution for (dv)/(dt)=32-4/5 v is v=-(e^{(-4t-c_{1})/5})/(4)+40