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Popular >

(dv)/(dt)=k(250-v)

Solution

\frac{d v}{d t} = k (250 - v)

Solution

v = - e^{- k t - c_{1}} + 250

Solution steps

\frac{d v}{d t} = k (250 - v)

Solve separable ODE:

v = - e^{- k t - c_{1}} + 250

v = - e^{- k t - c_{1}} + 250

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Frequently Asked Questions (FAQ)

What is the solution for (dv)/(dt)=k(250-v) ?
The solution for (dv)/(dt)=k(250-v) is v=-e^{-kt-c_{1}}+250