What is the solution for (dP)/(dt)=P(800-P) ?

The solution for (dP)/(dt)=P(800-P) is P=(800)/(-e^{-800t-c_{1)}+1}

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(dP)/(dt)=P(800-P)

\frac{d P}{d t} = P (800 - P)

P = \frac{800}{- e ^{- 800 t - c_{1}} + 1}

Solution steps

\frac{d P}{d t} = P (800 - P)

Solve Bernoulli ODE:

P = \frac{800}{- e ^{- 800 t - c_{1}} + 1}

P = \frac{800}{- e ^{- 800 t - c_{1}} + 1}

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\frac{\partial}{\partial x} (8 x^{2} + y^{2} - 7 y)

What is the solution for (dP)/(dt)=P(800-P) ?
The solution for (dP)/(dt)=P(800-P) is P=(800)/(-e^{-800t-c_{1)}+1}