What is the solution for (dx)/(dt)= 3/4-(3x)/(100) ?

The solution for (dx)/(dt)= 3/4-(3x)/(100) is x=-(e^{(-3t-c_{1})/(100)})/3+25

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dx)/(dt)= 3/4-(3x)/(100)

\frac{d x}{d t} = \frac{3}{4} - \frac{3 x}{100}

x = - \frac{e ^{\frac{- 3 t - c _{1}}{100}}}{3} + 25

Solution steps

\frac{d x}{d t} = \frac{3}{4} - \frac{3 x}{100}

Solve separable ODE:

x = - \frac{e ^{\frac{- 3 t - c _{1}}{100}}}{3} + 25

x = - \frac{e ^{\frac{- 3 t - c _{1}}{100}}}{3} + 25

What is the solution for (dx)/(dt)= 3/4-(3x)/(100) ?
The solution for (dx)/(dt)= 3/4-(3x)/(100) is x=-(e^{(-3t-c_{1})/(100)})/3+25