What is the solution for (dy)/(dx)=3y(1+y) ?

The solution for (dy)/(dx)=3y(1+y) is y=(e^{3x+c_{1}})/(1-e^{3x+c_{1)}}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dy)/(dx)=3y(1+y)

\frac{d y}{d x} = 3 y (1 + y)

y = \frac{e ^{3 x + c_{1}}}{1 - e ^{3 x + c_{1}}}

Solution steps

\frac{d y}{d x} = 3 y (1 + y)

Solve separable ODE:

y = \frac{e ^{3 x + c_{1}}}{1 - e ^{3 x + c_{1}}}

y = \frac{e ^{3 x + c_{1}}}{1 - e ^{3 x + c_{1}}}

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