What is the solution for (dN)/(dt)=N(1-0.0008N) ?

The solution for (dN)/(dt)=N(1-0.0008N) is N=-(e^{t+c_{1}})/(1-0.0008e^{t+c_{1)}}

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(dN)/(dt)=N(1-0.0008N)

\frac{d N}{d t} = N (1 - 0.0008 N)

N = - \frac{e ^{t + c_{1}}}{1 - 0.0008 e ^{t + c_{1}}}

Solution steps

\frac{d N}{d t} = N (1 - 0.0008 N)

Solve separable ODE:

N = - \frac{e ^{t + c_{1}}}{1 - 0.0008 e ^{t + c_{1}}}

N = - \frac{e ^{t + c_{1}}}{1 - 0.0008 e ^{t + c_{1}}}

\frac{d}{d x} (7 x (x^{3} - 3 x + 2))

\int x^{2} (x + 3)^{2} d x

y = e^{- x}, y = 0, x = 0, x = ln (5)

x \to 3 lim (a x + 3)

y d x + (x^{2} - 4 x) d y = 0

What is the solution for (dN)/(dt)=N(1-0.0008N) ?
The solution for (dN)/(dt)=N(1-0.0008N) is N=-(e^{t+c_{1}})/(1-0.0008e^{t+c_{1)}}