What is the solution for (dx)/(dt)=x(1-0.0004x) ?

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

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(dx)/(dt)=x(1-0.0004x)

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

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

Solution steps

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

Solve separable ODE:

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

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

\int_{1}^{2} 9 \frac{ln ( x )}{x ^{2}} d x

\int \frac{1}{x ( x + 1 )} d x

f (x) = x - 1, (10, 3)

\int_{0}^{3} 4 x + 5 d x

x = - 3, x = - 1, y = x^{3} + 8, y = 0

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