What is the solution for (dy)/(dx)=0.0019y(3000-y) ?

The solution for (dy)/(dx)=0.0019y(3000-y) is y=(5.7)/(-e^{-5.70000…x-c_{1)}+0.0019}

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(dy)/(dx)=0.0019y(3000-y)

\frac{d y}{d x} = 0.0019 y (3000 - y)

y = \frac{5.7}{- e ^{- 5.70000 \dots x - c_{1}} + 0.0019}

Solution steps

\frac{d y}{d x} = 0.0019 y (3000 - y)

Solve Bernoulli ODE:

y = \frac{5.7}{- e ^{- 5.70000 \dots x - c_{1}} + 0.0019}

y = \frac{5.7}{- e ^{- 5.70000 \dots x - c_{1}} + 0.0019}

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What is the solution for (dy)/(dx)=0.0019y(3000-y) ?
The solution for (dy)/(dx)=0.0019y(3000-y) is y=(5.7)/(-e^{-5.70000…x-c_{1)}+0.0019}