What is the solution for 2(dx)/(dt)+(dx)/(dt)-2x=1 ?

The solution for 2(dx)/(dt)+(dx)/(dt)-2x=1 is x=(e^{(2t+c_{1})/3})/(2)-1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

2(dx)/(dt)+(dx)/(dt)-2x=1

2 \frac{d x}{d t} + \frac{d x}{d t} - 2 x = 1

x = \frac{e ^{\frac{2 t + c _{1}}{3}}}{2} - \frac{1}{2}

Solution steps

2 \frac{d x}{d t} + \frac{d x}{d t} - 2 x = 1

Solve separable ODE:

x = \frac{e ^{\frac{2 t + c _{1}}{3}}}{2} - \frac{1}{2}

x = \frac{e ^{\frac{2 t + c _{1}}{3}}}{2} - \frac{1}{2}

What is the solution for 2(dx)/(dt)+(dx)/(dt)-2x=1 ?
The solution for 2(dx)/(dt)+(dx)/(dt)-2x=1 is x=(e^{(2t+c_{1})/3})/(2)-1/2