What is the solution for (dv)/(dx)=-0.002v-11 ?

The solution for (dv)/(dx)=-0.002v-11 is v=500e^{(-x-c_{1})/(500)}-5500

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(dv)/(dx)=-0.002v-11

\frac{d v}{d x} = - 0.002 v - 11

v = 500 e^{\frac{- x - c _{1}}{500}} - 5500

Solution steps

\frac{d v}{d x} = - 0.002 v - 11

Solve separable ODE:

v = 500 e^{\frac{- x - c _{1}}{500}} - 5500

v = 500 e^{\frac{- x - c _{1}}{500}} - 5500

What is the solution for (dv)/(dx)=-0.002v-11 ?
The solution for (dv)/(dx)=-0.002v-11 is v=500e^{(-x-c_{1})/(500)}-5500