What is the solution for (dv)/(dt)=14-1.4v ?

The solution for (dv)/(dt)=14-1.4v is v=-(e^{-1.4t-c_{1}})/(1.4)+(14)/(1.4)

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(dv)/(dt)=14-1.4v

\frac{d v}{d t} = 14 - 1.4 v

v = - \frac{e ^{- 1.4 t - c_{1}}}{1.4} + \frac{14}{1.4}

Solution steps

\frac{d v}{d t} = 14 - 1.4 v

Solve separable ODE:

v = - \frac{e ^{- 1.4 t - c_{1}}}{1.4} + \frac{14}{1.4}

v = - \frac{e ^{- 1.4 t - c_{1}}}{1.4} + \frac{14}{1.4}

\frac{d y}{d x} = 6 x^{2} y, y > 0

(1 + y) (\frac{d y}{d x}) + sin^{2} (x) = 1

\frac{d y}{d x} = \frac{1}{y e ^{x}}

\frac{1}{x} y^{^{'}} = \frac{y}{x ^{2}}

\frac{d y}{d x} y = (cos^{4} (sin (5 x)))

What is the solution for (dv)/(dt)=14-1.4v ?
The solution for (dv)/(dt)=14-1.4v is v=-(e^{-1.4t-c_{1}})/(1.4)+(14)/(1.4)