What is the solution for (dv)/(dt)=9.8-v/5 ,v(0)=0 ?

The solution for (dv)/(dt)=9.8-v/5 ,v(0)=0 is v=49-(49)/(e^{t/5)}

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(dv)/(dt)=9.8-v/5 ,v(0)=0

\frac{d v}{d t} = 9.8 - \frac{v}{5}, v (0) = 0

v = 49 - \frac{49}{e ^{\frac{t}{5}}}

Solution steps

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

Solve linear ODE:

v = 49 - \frac{49}{e ^{\frac{t}{5}}}

v = 49 - \frac{49}{e ^{\frac{t}{5}}}

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What is the solution for (dv)/(dt)=9.8-v/5 ,v(0)=0 ?
The solution for (dv)/(dt)=9.8-v/5 ,v(0)=0 is v=49-(49)/(e^{t/5)}