What is the solution for (dx)/(dt)=80-x/(1000),x=5000,t=0 ?

The solution for (dx)/(dt)=80-x/(1000),x=5000,t=0 is x=-75000e^{-t/(1000)}+80000

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dx)/(dt)=80-x/(1000),x=5000,t=0

\frac{d x}{d t} = 80 - \frac{x}{1000}, x = 5000, t = 0

x = - 75000 e^{- \frac{t}{1000}} + 80000

Solution steps

\frac{d x}{d t} = 80 - \frac{x}{1000}

Solve separable ODE:

x = - 75000 e^{- \frac{t}{1000}} + 80000

x = - 75000 e^{- \frac{t}{1000}} + 80000

\frac{d y}{d x} = \frac{y}{1 - x ^{2}}

y^{^{'}} = 16 y - 20

\frac{d y}{d x} = 8 - 15 y

\frac{d y}{d x} = \frac{2 x + 1}{2 y}, y (- 2) = - 1

2 y = 3 - x y^{^{'}}

What is the solution for (dx)/(dt)=80-x/(1000),x=5000,t=0 ?
The solution for (dx)/(dt)=80-x/(1000),x=5000,t=0 is x=-75000e^{-t/(1000)}+80000