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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

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

Solution steps

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

Solve separable ODE:

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

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

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