What is the solution for (dv)/(dx)=1-0.4v ?

The solution for (dv)/(dx)=1-0.4v is v=-(5e^{(-2x-c_{1})/5})/(2)+5/2

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(dv)/(dx)=1-0.4v

\frac{d v}{d x} = 1 - 0.4 v

v = - \frac{5 e ^{\frac{- 2 x - c _{1}}{5}}}{2} + \frac{5}{2}

Solution steps

\frac{d v}{d x} = 1 - 0.4 v

Solve separable ODE:

v = - \frac{5 e ^{\frac{- 2 x - c _{1}}{5}}}{2} + \frac{5}{2}

v = - \frac{5 e ^{\frac{- 2 x - c _{1}}{5}}}{2} + \frac{5}{2}

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

\frac{d N}{d t} = 2 N

(1 + 5 e^{2 x}) (y^{2} - 4) y^{^{'}} = e^{2 x} (y + 2)

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

(e^{y} + 1) cos (x) d x + e^{y} sin (x) d y = 0

What is the solution for (dv)/(dx)=1-0.4v ?
The solution for (dv)/(dx)=1-0.4v is v=-(5e^{(-2x-c_{1})/5})/(2)+5/2