en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dx)/(dy)=5x(6-x)

Solution

\frac{d x}{d y} = 5 x (6 - x)

Solution

x = \frac{6}{e ^{- 30 y + c_{1}} + 1}

Solution steps

\frac{d x}{d y} = 5 x (6 - x)

Solve Bernoulli ODE:

x = \frac{6}{e ^{- 30 y + c_{1}} + 1}

x = \frac{6}{e ^{- 30 y + c_{1}} + 1}

Popular Examples

(\partial)/(\partial x)(-(2x^2)/(5y^2))

\frac{\partial}{\partial x} (- \frac{2 x ^{2}}{5 y ^{2}})

limit as x approaches 0 of ((1+x)^5-1)/x

x \to 0 lim (\frac{( 1 + x ) ^{5} - 1}{x})

limit as y approaches-3 of log_{2}(3)y^2

y \to - 3 lim (lo g_{2} (3) y^{2})

integral of (r^3)/(1+r^2)

\int \frac{r ^{3}}{1 + r ^{2}} d r

integral from 0 to 4 of xsqrt(4-x)

\int_{0}^{4} x 4 - x d x

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dy)=5x(6-x) ?
The solution for (dx)/(dy)=5x(6-x) is x= 6/(e^{-30y+c_{1)}+1}