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)}}

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(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}}}

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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)}}