What is the solution for (dx)/(dt)=6-(6x)/(15) ?

The solution for (dx)/(dt)=6-(6x)/(15) is x=-(e^{(-2t-c_{1})/5})/(2)+15

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dx)/(dt)=6-(6x)/(15)

\frac{d x}{d t} = 6 - \frac{6 x}{15}

x = - \frac{e ^{\frac{- 2 t - c _{1}}{5}}}{2} + 15

Solution steps

\frac{d x}{d t} = 6 - \frac{6 x}{15}

Solve separable ODE:

x = - \frac{e ^{\frac{- 2 t - c _{1}}{5}}}{2} + 15

x = - \frac{e ^{\frac{- 2 t - c _{1}}{5}}}{2} + 15

x \to \infty lim (2 - \frac{1}{x})

\int \frac{4 x + 1}{x ^{2}} d x

y^{^{'}} = 3 + t - y, y (0) = 1

\int_{1}^{3} (x^{2} - 5 x + 3) d x

- 1

What is the solution for (dx)/(dt)=6-(6x)/(15) ?
The solution for (dx)/(dt)=6-(6x)/(15) is x=-(e^{(-2t-c_{1})/5})/(2)+15