What is the solution for (dN)/(dt)=N(1-0.0005N) ?

The solution for (dN)/(dt)=N(1-0.0005N) is N=-(e^{t+c_{1}})/(1-0.0005e^{t+c_{1)}}

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(dN)/(dt)=N(1-0.0005N)

\frac{d N}{d t} = N (1 - 0.0005 N)

N = - \frac{e ^{t + c_{1}}}{1 - 0.0005 e ^{t + c_{1}}}

Solution steps

\frac{d N}{d t} = N (1 - 0.0005 N)

Solve separable ODE:

N = - \frac{e ^{t + c_{1}}}{1 - 0.0005 e ^{t + c_{1}}}

N = - \frac{e ^{t + c_{1}}}{1 - 0.0005 e ^{t + c_{1}}}

x \frac{d y}{d x} + y = (x y)^{\frac{3}{2}}

\frac{d}{d x} (y - x n (y + x))

\frac{\partial}{\partial y} (x - y - 1)

x \to 0 lim (e^{- x} cos (x))

\frac{d ^{2}}{d x ^{2}} (sec (x))

What is the solution for (dN)/(dt)=N(1-0.0005N) ?
The solution for (dN)/(dt)=N(1-0.0005N) is N=-(e^{t+c_{1}})/(1-0.0005e^{t+c_{1)}}