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

The solution for (dx)/(dt)+(3x)/(500)=0.6 is x=-e^{(-3t-c_{1})/(500)}+100

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

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

x = - e^{\frac{- 3 t - c _{1}}{500}} + 100

Solution steps

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

Solve separable ODE:

x = - e^{\frac{- 3 t - c _{1}}{500}} + 100

x = - e^{\frac{- 3 t - c _{1}}{500}} + 100

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What is the solution for (dx)/(dt)+(3x)/(500)=0.6 ?
The solution for (dx)/(dt)+(3x)/(500)=0.6 is x=-e^{(-3t-c_{1})/(500)}+100