What is the solution for (dy)/(dx)=y(3-y),y(0.2)=8 ?

The solution for (dy)/(dx)=y(3-y),y(0.2)=8 is y=(24)/(-5e^{-3x+0.6)+8}

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(dy)/(dx)=y(3-y),y(0.2)=8

\frac{d y}{d x} = y (3 - y), y (0.2) = 8

y = \frac{24}{- 5 e ^{- 3 x + 0.6} + 8}

Solution steps

\frac{d y}{d x} = y (3 - y)

Solve Bernoulli ODE:

y = \frac{24}{- 5 e ^{- 3 x + 0.6} + 8}

y = \frac{24}{- 5 e ^{- 3 x + 0.6} + 8}

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What is the solution for (dy)/(dx)=y(3-y),y(0.2)=8 ?
The solution for (dy)/(dx)=y(3-y),y(0.2)=8 is y=(24)/(-5e^{-3x+0.6)+8}