What is the solution for (dy)/(dx)=0.2y-0.001y^2 ?

The solution for (dy)/(dx)=0.2y-0.001y^2 is y=(200}{-1000e^{\frac{-c_{1}-x)/5}+1}

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(dy)/(dx)=0.2y-0.001y^2

\frac{d y}{d x} = 0.2 y - 0.001 y^{2}

y = \frac{200}{- 1000 e ^{\frac{- c _{1} - x}{5}} + 1}

Solution steps

\frac{d y}{d x} = 0.2 y - 0.001 y^{2}

Solve Bernoulli ODE:

y = \frac{200}{- 1000 e ^{\frac{- c _{1} - x}{5}} + 1}

y = \frac{200}{- 1000 e ^{\frac{- c _{1} - x}{5}} + 1}

y = ln (4 t)

y = 2 x^{2} - x^{4}, (1, 1)

\frac{d y}{d x} = - 2 x + 3 y - 5

\frac{\partial}{\partial z} (x + y + z)

\int e^{a t} d t

What is the solution for (dy)/(dx)=0.2y-0.001y^2 ?
The solution for (dy)/(dx)=0.2y-0.001y^2 is y=(200}{-1000e^{\frac{-c_{1}-x)/5}+1}