What is the solution for (dx)/(dt)=x(1-0.0008x) ?

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

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(dx)/(dt)=x(1-0.0008x)

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

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

Solution steps

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

Solve separable ODE:

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

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

\frac{d}{d x} ((\frac{1}{x ^{2}} - \frac{5}{x ^{4}}) (x + 7 x^{3}))

\int_{3}^{4} 5 lo g_{6} (t) d t

\int \frac{1}{3 - y} d y

x \to 4 lim (\frac{x ^{2} - 2}{x - 4})

\frac{d y}{d x} - y = 1

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