What is the solution for (dv}{dt}=\frac{49-10v)/5 ?

The solution for (dv}{dt}=\frac{49-10v)/5 is v=-(e^{-2t-c_{1}})/(10)+49/10

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(dv}{dt}=\frac{49-10v)/5

\frac{d v}{d t} = \frac{49 - 10 v}{5}

v = - \frac{e ^{- 2 t - c_{1}}}{10} + \frac{49}{10}

Solution steps

\frac{d v}{d t} = \frac{49 - 10 v}{5}

Solve separable ODE:

v = - \frac{e ^{- 2 t - c_{1}}}{10} + \frac{49}{10}

v = - \frac{e ^{- 2 t - c_{1}}}{10} + \frac{49}{10}

\frac{d y}{d x} = y (y - 1)

y = x, y = 3 x, y = - x + 4

(y + x y) d x = x d y

\frac{\partial}{\partial x} (\frac{2 x}{x ^{2} + 1})

12 x^{2} + 3 x

What is the solution for (dv}{dt}=\frac{49-10v)/5 ?
The solution for (dv}{dt}=\frac{49-10v)/5 is v=-(e^{-2t-c_{1}})/(10)+49/10