What is the solution for x/(250)+1*10^{-9}(dx)/(dt)= 5/100000 ?

The solution for x/(250)+1*10^{-9}(dx)/(dt)= 5/100000 is x=-(e^{-4000000t-c_{1}})/(80)+1/80

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x/(250)+1*10^{-9}(dx)/(dt)= 5/100000

\frac{x}{250} + 1 \cdot 1 0^{- 9} \frac{d x}{d t} = \frac{5}{100000}

x = - \frac{e ^{- 4000000 t - c_{1}}}{80} + \frac{1}{80}

Solution steps

\frac{x}{250} + 1 \cdot 1 0^{- 9} \frac{d x}{d t} = \frac{5}{100000}

Solve separable ODE:

x = - \frac{e ^{- 4000000 t - c_{1}}}{80} + \frac{1}{80}

x = - \frac{e ^{- 4000000 t - c_{1}}}{80} + \frac{1}{80}

What is the solution for x/(250)+1*10^{-9}(dx)/(dt)= 5/100000 ?
The solution for x/(250)+1*10^{-9}(dx)/(dt)= 5/100000 is x=-(e^{-4000000t-c_{1}})/(80)+1/80