What is the solution for (dv)/(dt)=(457.8-7v)/(2180) ?

The solution for (dv)/(dt)=(457.8-7v)/(2180) is v=-(e^{-0.00321…t-c_{1}})/7+(457.8)/7

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(dv)/(dt)=(457.8-7v)/(2180)

\frac{d v}{d t} = \frac{457.8 - 7 v}{2180}

v = - \frac{e ^{- 0.00321 \dots t - c_{1}}}{7} + \frac{457.8}{7}

Solution steps

\frac{d v}{d t} = \frac{457.8 - 7 v}{2180}

Solve separable ODE:

v = - \frac{e ^{- 0.00321 \dots t - c_{1}}}{7} + \frac{457.8}{7}

v = - \frac{e ^{- 0.00321 \dots t - c_{1}}}{7} + \frac{457.8}{7}

What is the solution for (dv)/(dt)=(457.8-7v)/(2180) ?
The solution for (dv)/(dt)=(457.8-7v)/(2180) is v=-(e^{-0.00321…t-c_{1}})/7+(457.8)/7