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Popular Calculus >

(dv}{dt}=\frac{(10-v))/1

Solution

\frac{d v}{d t} = \frac{( 10 - v )}{1}

Solution

v = - e^{- t - c_{1}} + 10

Solution steps

\frac{d v}{d t} = \frac{( 10 - v )}{1}

Solve separable ODE:

v = - e^{- t - c_{1}} + 10

v = - e^{- t - c_{1}} + 10

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dv}{dt}=\frac{(10-v))/1 ?
The solution for (dv}{dt}=\frac{(10-v))/1 is v=-e^{-t-c_{1}}+10