What is the solution for (dx)/(dt)=10-(70x)/(100) ?

The solution for (dx)/(dt)=10-(70x)/(100) is x=-(e^{(-7t-c_{1})/(10)})/7+100/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dx)/(dt)=10-(70x)/(100)

\frac{d x}{d t} = 10 - \frac{70 x}{100}

x = - \frac{e ^{\frac{- 7 t - c _{1}}{10}}}{7} + \frac{100}{7}

Solution steps

\frac{d x}{d t} = 10 - \frac{70 x}{100}

Solve separable ODE:

x = - \frac{e ^{\frac{- 7 t - c _{1}}{10}}}{7} + \frac{100}{7}

x = - \frac{e ^{\frac{- 7 t - c _{1}}{10}}}{7} + \frac{100}{7}

What is the solution for (dx)/(dt)=10-(70x)/(100) ?
The solution for (dx)/(dt)=10-(70x)/(100) is x=-(e^{(-7t-c_{1})/(10)})/7+100/7