What is the solution for (dx)/(dt)=0.6-3/500 x ?

The solution for (dx)/(dt)=0.6-3/500 x is x=-(e^{-0.006t-c_{1}})/(0.006)+(0.6)/(0.006)

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(dx)/(dt)=0.6-3/500 x

\frac{d x}{d t} = 0.6 - \frac{3}{500} x

x = - \frac{e ^{- 0.006 t - c_{1}}}{0.006} + \frac{0.6}{0.006}

Solution steps

\frac{d x}{d t} = 0.6 - \frac{3}{500} x

Solve separable ODE:

x = - \frac{e ^{- 0.006 t - c_{1}}}{0.006} + \frac{0.6}{0.006}

x = - \frac{e ^{- 0.006 t - c_{1}}}{0.006} + \frac{0.6}{0.006}

What is the solution for (dx)/(dt)=0.6-3/500 x ?
The solution for (dx)/(dt)=0.6-3/500 x is x=-(e^{-0.006t-c_{1}})/(0.006)+(0.6)/(0.006)