What is the solution for (dN)/(dt)=N(1-0.001N) ?

The solution for (dN)/(dt)=N(1-0.001N) is N=-(e^{t+c_{1}})/(1-0.001e^{t+c_{1)}}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dN)/(dt)=N(1-0.001N)

\frac{d N}{d t} = N (1 - 0.001 N)

N = - \frac{e ^{t + c_{1}}}{1 - 0.001 e ^{t + c_{1}}}

Solution steps

\frac{d N}{d t} = N (1 - 0.001 N)

Solve separable ODE:

N = - \frac{e ^{t + c_{1}}}{1 - 0.001 e ^{t + c_{1}}}

N = - \frac{e ^{t + c_{1}}}{1 - 0.001 e ^{t + c_{1}}}

What is the solution for (dN)/(dt)=N(1-0.001N) ?
The solution for (dN)/(dt)=N(1-0.001N) is N=-(e^{t+c_{1}})/(1-0.001e^{t+c_{1)}}