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

The solution for (dv)/(dt)+k/5 v+9.8=0 is v=(e^{(-kt-c_{1})/5})/(k)-(49)/k

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(dv)/(dt)+k/5 v+9.8=0

\frac{d v}{d t} + \frac{k}{5} v + 9.8 = 0

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

Solution steps

\frac{d v}{d t} + \frac{k}{5} v + 9.8 = 0

Solve separable ODE:

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

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

\int 5 e^{0.3 x} d x

\frac{\partial}{\partial x} (\frac{x}{t})

\frac{d}{d x} (tan (5 x^{3}))

\int e^{2 x} ln (e^{x}) d x

y = x^{2} - 8 x, at x = - 8

What is the solution for (dv)/(dt)+k/5 v+9.8=0 ?
The solution for (dv)/(dt)+k/5 v+9.8=0 is v=(e^{(-kt-c_{1})/5})/(k)-(49)/k