What is the solution for (dx)/(dt)=125-x/(100),x=4000,t=0 ?

The solution for (dx)/(dt)=125-x/(100),x=4000,t=0 is x=-8500e^{-t/(100)}+12500

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(dx)/(dt)=125-x/(100),x=4000,t=0

\frac{d x}{d t} = 125 - \frac{x}{100}, x = 4000, t = 0

x = - 8500 e^{- \frac{t}{100}} + 12500

Solution steps

\frac{d x}{d t} = 125 - \frac{x}{100}

Solve separable ODE:

x = - 8500 e^{- \frac{t}{100}} + 12500

x = - 8500 e^{- \frac{t}{100}} + 12500

What is the solution for (dx)/(dt)=125-x/(100),x=4000,t=0 ?
The solution for (dx)/(dt)=125-x/(100),x=4000,t=0 is x=-8500e^{-t/(100)}+12500