What is the solution for (dv)/(dt)=60-8/100 v ?

The solution for (dv)/(dt)=60-8/100 v is v=-(e^{(-2t-c_{1})/(25)})/2+750

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(dv)/(dt)=60-8/100 v

\frac{d v}{d t} = 60 - \frac{8}{100} v

v = - \frac{e ^{\frac{- 2 t - c _{1}}{25}}}{2} + 750

Solution steps

\frac{d v}{d t} = 60 - \frac{8}{100} v

Solve separable ODE:

v = - \frac{e ^{\frac{- 2 t - c _{1}}{25}}}{2} + 750

v = - \frac{e ^{\frac{- 2 t - c _{1}}{25}}}{2} + 750

csc^{3} (x) \frac{d y}{d x} = cos^{2} (y)

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

0 = \frac{y + x \frac{d y}{d x}}{2 - x y}

3 y^{^{'}} + 2 y = 7, y (0) = 2

2 cos (y^{2}) d x - x y sin (y^{2}) d y = 0

What is the solution for (dv)/(dt)=60-8/100 v ?
The solution for (dv)/(dt)=60-8/100 v is v=-(e^{(-2t-c_{1})/(25)})/2+750