What is the solution for (dN)/(dt)=N(1-0.0004N) ?

The solution for (dN)/(dt)=N(1-0.0004N) is N=-(e^{t+c_{1}})/(1-0.0004e^{t+c_{1)}}

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(dN)/(dt)=N(1-0.0004N)

\frac{d N}{d t} = N (1 - 0.0004 N)

N = - \frac{e ^{t + c_{1}}}{1 - 0.0004 e ^{t + c_{1}}}

Solution steps

\frac{d N}{d t} = N (1 - 0.0004 N)

Solve separable ODE:

N = - \frac{e ^{t + c_{1}}}{1 - 0.0004 e ^{t + c_{1}}}

N = - \frac{e ^{t + c_{1}}}{1 - 0.0004 e ^{t + c_{1}}}

\int_{0}^{1} \frac{x}{x ^{2} + x + 1} d x

\frac{d x}{d t} + 5 t^{7} x^{9} + \frac{x}{t} = 0

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\frac{x ^{2}}{1 - 2 x}

2 x^{^{''}} + 7 x^{^{'}} + 3 x = 0

What is the solution for (dN)/(dt)=N(1-0.0004N) ?
The solution for (dN)/(dt)=N(1-0.0004N) is N=-(e^{t+c_{1}})/(1-0.0004e^{t+c_{1)}}