What is the solution for (dx)/(dt)=6-(3x)/(500) ?

The solution for (dx)/(dt)=6-(3x)/(500) is x=-(e^{(-3t-c_{1})/(500)})/3+1000

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dx)/(dt)=6-(3x)/(500)

\frac{d x}{d t} = 6 - \frac{3 x}{500}

x = - \frac{e ^{\frac{- 3 t - c _{1}}{500}}}{3} + 1000

Solution steps

\frac{d x}{d t} = 6 - \frac{3 x}{500}

Solve separable ODE:

x = - \frac{e ^{\frac{- 3 t - c _{1}}{500}}}{3} + 1000

x = - \frac{e ^{\frac{- 3 t - c _{1}}{500}}}{3} + 1000

\frac{( 6 s - 4 )}{s ^{2} - 4 s + 20}

\frac{\partial}{\partial x} (x^{\frac{2}{3}})

x \to 0 + lim (e^{x} + ln (x))

\int \frac{18}{( x + 3 ) ( x ^{2} - 9 )} d x

y^{^{''}} + 2 y^{^{'}} + y = \frac{- 4 e ^{- t}}{t ^{2} + 1}

What is the solution for (dx)/(dt)=6-(3x)/(500) ?
The solution for (dx)/(dt)=6-(3x)/(500) is x=-(e^{(-3t-c_{1})/(500)})/3+1000