What is the solution for (dv)/(dt)=2-0.1v,v(0)=0 ?

The solution for (dv)/(dt)=2-0.1v,v(0)=0 is v=-20e^{-t/(10)}+20

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(dv)/(dt)=2-0.1v,v(0)=0

\frac{d v}{d t} = 2 - 0.1 v, v (0) = 0

v = - 20 e^{- \frac{t}{10}} + 20

Solution steps

\frac{d v}{d t} = 2 - 0.1 v

Solve separable ODE:

v = - 20 e^{- \frac{t}{10}} + 20

v = - 20 e^{- \frac{t}{10}} + 20

y^{^{'}} - x y^{- 2} = 0

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

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

\frac{d x}{d t} - 0.04 x = 5000

d y (x y - 2 x + 4 y - 8) - d x (x y + 3 x - y - 3) = 0

What is the solution for (dv)/(dt)=2-0.1v,v(0)=0 ?
The solution for (dv)/(dt)=2-0.1v,v(0)=0 is v=-20e^{-t/(10)}+20