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Popular >

(dv)/(dt)=9.8-v/5

Solution

\frac{d v}{d t} = 9.8 - \frac{v}{5}

Solution

v = - e^{\frac{- t - c _{1}}{5}} + 49

Solution steps

\frac{d v}{d t} = 9.8 - \frac{v}{5}

Solve separable ODE:

v = - e^{\frac{- t - c _{1}}{5}} + 49

v = - e^{\frac{- t - c _{1}}{5}} + 49

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Frequently Asked Questions (FAQ)

What is the solution for (dv)/(dt)=9.8-v/5 ?
The solution for (dv)/(dt)=9.8-v/5 is v=-e^{(-t-c_{1})/5}+49