en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=y(3y-6)

Solution

\frac{d y}{d x} = y (3 y - 6)

Solution

y = \frac{2}{- e ^{6 x - c_{1}} + 1}

Solution steps

\frac{d y}{d x} = y (3 y - 6)

Solve Bernoulli ODE:

y = \frac{2}{- e ^{6 x - c_{1}} + 1}

y = \frac{2}{- e ^{6 x - c_{1}} + 1}

Popular Examples

derivative of 1/(3x^4+1)

\frac{d}{d x} (\frac{1}{3 x ^{4} + 1})

integral of 1/(\sqrt[3]{x)+5}

integral of sec^2(2x)-1

\int sec^{2} (2 x) - 1 d x

integral of tan^2(x)sec^{10}(x)

\int tan^{2} (x) sec^{10} (x) d x

limit as x approaches 0+of (tan(x))/x

x \to 0 + lim (\frac{tan ( x )}{x})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=y(3y-6) ?
The solution for (dy)/(dx)=y(3y-6) is y= 2/(-e^{6x-c_{1)}+1}