What is the solution for (dv)/(dt)=4.9-100/3 v ?

The solution for (dv)/(dt)=4.9-100/3 v is v=-(e^{(-100t-c_{1})/3})/(33.33333…)+(4.9)/(33.33333…)

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(dv)/(dt)=4.9-100/3 v

\frac{d v}{d t} = 4.9 - \frac{100}{3} v

v = - \frac{e ^{\frac{- 100 t - c _{1}}{3}}}{33.33333 \dots} + \frac{4.9}{33.33333 \dots}

Solution steps

\frac{d v}{d t} = 4.9 - \frac{100}{3} v

Solve separable ODE:

v = - \frac{e ^{\frac{- 100 t - c _{1}}{3}}}{33.33333 \dots} + \frac{4.9}{33.33333 \dots}

v = - \frac{e ^{\frac{- 100 t - c _{1}}{3}}}{33.33333 \dots} + \frac{4.9}{33.33333 \dots}

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What is the solution for (dv)/(dt)=4.9-100/3 v ?
The solution for (dv)/(dt)=4.9-100/3 v is v=-(e^{(-100t-c_{1})/3})/(33.33333…)+(4.9)/(33.33333…)