de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dy)/(dx)= 1/10y(500-y)

Lösung

\frac{d y}{d x} = \frac{1}{10} \cdot y \cdot (500 - y)

Lösung

y = \frac{50}{e ^{- 50 x - c_{1}} - 1}

Schritte zur Lösung

\frac{d y}{d x} = \frac{1}{10} \cdot y \cdot (500 - y)

Solve Bernoulli ODE:

y = \frac{50}{e ^{- 50 x - c_{1}} - 1}

y = \frac{50}{e ^{- 50 x - c_{1}} - 1}

Graph

Beliebte Beispiele

derivative of sin^2(x+5)

\frac{d}{d x} (sin^{2} (x + 5))

derivative of (e^3^{x-1})

\frac{d}{d x} ((e^{3})^{x - 1})

derivative of 5x^8

\frac{d}{d x} (5 x^{8})

integral of ((1-tcos(t)))/t

\int \frac{( 1 - t cos ( t ) )}{t} d t

inverselaplace 5/(s+1)

in v erse l a pl a ce \frac{5}{s + 1}