What is the solution for (dy)/(dx)=y(1-0.0008y) ?

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

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(dy)/(dx)=y(1-0.0008y)

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

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

Solution steps

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

Solve separable ODE:

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

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

\frac{d}{d x} (9 x + 7)

6 y^{^{''}} - 6 y^{^{'}} + 39 y = 0

x \to 0 lim ((1 + \frac{x}{2})^{\frac{3}{x}})

\frac{d}{d x} (ln (x^{2} - 4 x + 5))

x_{1} + x_{2} + x_{3} - 12

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