What is the solution for (dv)/(dt)=9.8-kv ?

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

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(dv)/(dt)=9.8-kv

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

v = - \frac{e ^{- k t - c_{1}}}{k} + \frac{9.8}{k}

Solution steps

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

Solve separable ODE:

v = - \frac{e ^{- k t - c_{1}}}{k} + \frac{9.8}{k}

v = - \frac{e ^{- k t - c_{1}}}{k} + \frac{9.8}{k}

\int 3 csc^{2} (x) - 5 sec (x) tan (x) d x

\int (x + 1) x + 3 d x

\frac{d y}{d x} = 4 x^{3} y

\frac{\partial}{\partial x} (- 2 y sin (x))

y^{^{''}} + 4 y = e^{- t}

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