en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve Bernoulli ODE:

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

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

Popular Examples

integral of 2x(x^2+19)^{14}

\int 2 x (x^{2} + 19)^{14} d x

integral of (x^2-5)^52x

\int (x^{2} - 5)^{5} 2 x d x

integral of 7arctan(sqrt(x))

\int 7 arctan (x) d x

(\partial)/(\partial x)((2(y^2-4))/(3(x-1)^{1/3)})

\frac{\partial}{\partial x} (\frac{2 ( y ^{2} - 4 )}{3 ( x - 1 ) ^{\frac{1}{3}}})

limit as x approaches 0+of 5sin(x)ln(x)

x \to 0 + lim (5 sin (x) ln (x))

Frequently Asked Questions (FAQ)

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