What is the solution for (dy)/(dx)= 1/10 y(500-y) ?

The solution for (dy)/(dx)= 1/10 y(500-y) is y=(50)/(e^{-50x-c_{1)}-1}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

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

Solution steps

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

Solve Bernoulli ODE:

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

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

x \to \infty lim (7 x^{2} + 6)

y^{^{'}} = tan (x + y)

\int θ^{4} + 4 θ^{2} d θ

\frac{d y}{d x} = 1 + y^{2}

3 x \frac{d y}{d x} - 2 y = \frac{x ^{3}}{y ^{2}}

What is the solution for (dy)/(dx)= 1/10 y(500-y) ?
The solution for (dy)/(dx)= 1/10 y(500-y) is y=(50)/(e^{-50x-c_{1)}-1}