What is the solution for y^'=0.0017y(1500-y) ?

The solution for y^'=0.0017y(1500-y) is y=(2.55)/(-e^{-2.55t-c_{1)}+0.0017}

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y^'=0.0017y(1500-y)

y^{^{'}} = 0.0017 y (1500 - y)

y = \frac{2.55}{- e ^{- 2.55 t - c_{1}} + 0.0017}

Solution steps

y^{'} (t) = 0.0017 y (1500 - y)

Solve Bernoulli ODE:

y = \frac{2.55}{- e ^{- 2.55 t - c_{1}} + 0.0017}

y = \frac{2.55}{- e ^{- 2.55 t - c_{1}} + 0.0017}

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\frac{d y}{d x} + 4 y - e^{- x} = 0

What is the solution for y^'=0.0017y(1500-y) ?
The solution for y^'=0.0017y(1500-y) is y=(2.55)/(-e^{-2.55t-c_{1)}+0.0017}