What is the solution for (dy)/(dx)=0.067y(1-y/(2800)) ?

The solution for (dy)/(dx)=0.067y(1-y/(2800)) is y=-(2800e^{0.067x+c_{1}})/(1-e^{0.067x+c_{1)}}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dy)/(dx)=0.067y(1-y/(2800))

\frac{d y}{d x} = 0.067 y (1 - \frac{y}{2800})

y = - \frac{2800 e ^{0.067 x + c_{1}}}{1 - e ^{0.067 x + c_{1}}}

Solution steps

\frac{d y}{d x} = 0.067 y (1 - \frac{y}{2800})

Solve separable ODE:

y = - \frac{2800 e ^{0.067 x + c_{1}}}{1 - e ^{0.067 x + c_{1}}}

y = - \frac{2800 e ^{0.067 x + c_{1}}}{1 - e ^{0.067 x + c_{1}}}

What is the solution for (dy)/(dx)=0.067y(1-y/(2800)) ?
The solution for (dy)/(dx)=0.067y(1-y/(2800)) is y=-(2800e^{0.067x+c_{1}})/(1-e^{0.067x+c_{1)}}