What is the solution for (dv)/(dt)=-1/3600 (v+35280) ?

The solution for (dv)/(dt)=-1/3600 (v+35280) is v=e^{(-t-c_{1})/(3600)}-35280

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(dv)/(dt)=-1/3600 (v+35280)

\frac{d v}{d t} = - \frac{1}{3600} (v + 35280)

v = e^{\frac{- t - c _{1}}{3600}} - 35280

Solution steps

\frac{d v}{d t} = - \frac{1}{3600} (v + 35280)

Solve separable ODE:

v = e^{\frac{- t - c _{1}}{3600}} - 35280

v = e^{\frac{- t - c _{1}}{3600}} - 35280

\frac{d y}{d x} = 2 y, y (3) = 2 e^{- 2}

y^{^{'}} + \frac{33 y}{3090} - \frac{17}{2} = 0

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

\frac{d y}{d x} y = x + 5

(\frac{( 5 y )}{( x ) - 24 x ^{(2)}}) d x + 5 d y = 0

What is the solution for (dv)/(dt)=-1/3600 (v+35280) ?
The solution for (dv)/(dt)=-1/3600 (v+35280) is v=e^{(-t-c_{1})/(3600)}-35280