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Popular Calculus >

(dv)/(dt)=-v

Solution

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

Solution

v = e^{- t + c_{1}}

Solution steps

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

Solve separable ODE:

v = e^{- t + c_{1}}

v = e^{- t + c_{1}}

Graph

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Frequently Asked Questions (FAQ)

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