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Popular >

(dv)/(dt)=5-2v

Solution

\frac{d v}{d t} = 5 - 2 v

Solution

v = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{5}{2}

Solution steps

\frac{d v}{d t} = 5 - 2 v

Solve separable ODE:

v = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{5}{2}

v = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{5}{2}

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Frequently Asked Questions (FAQ)

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