What is the solution for (dy)/(dx)=y(1-2y) ?

The solution for (dy)/(dx)=y(1-2y) is y=(e^{x+c_{1}})/(2(-1+e^{x+c_{1)})}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=y(1-2y)

\frac{d y}{d x} = y (1 - 2 y)

y = \frac{e ^{x + c_{1}}}{2 ( - 1 + e ^{x + c_{1}} )}

Solution steps

\frac{d y}{d x} = y (1 - 2 y)

Solve separable ODE:

y = \frac{e ^{x + c_{1}}}{2 ( - 1 + e ^{x + c_{1}} )}

y = \frac{e ^{x + c_{1}}}{2 ( - 1 + e ^{x + c_{1}} )}

\int_{0}^{1} x (x^{2} - 1) e^{- x^{2}} d x

\int_{0}^{3} (x) d x

\int \frac{1}{x ( 1 - 3 x )} d x

\int 8 x (4 x^{2} + 5)^{6} d x

\int \frac{4}{7 ^{l n (x)}} d x

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