What is the solution for (dP)/(dt)=P(850-P) ?

The solution for (dP)/(dt)=P(850-P) is P=(850)/(-e^{-850t-c_{1)}+1}

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(dP)/(dt)=P(850-P)

\frac{d P}{d t} = P (850 - P)

P = \frac{850}{- e ^{- 850 t - c_{1}} + 1}

Solution steps

\frac{d P}{d t} = P (850 - P)

Solve Bernoulli ODE:

P = \frac{850}{- e ^{- 850 t - c_{1}} + 1}

P = \frac{850}{- e ^{- 850 t - c_{1}} + 1}

\frac{d y}{d x} = - y

y^{^{'}} + \frac{5}{x} y = 0

\int_{- \infty}^{0} x e^{x} d x

\frac{d}{d x} ((x + h)^{3})

\frac{\partial}{\partial x} (2 x y^{3} cos (x^{2} y^{3}))

What is the solution for (dP)/(dt)=P(850-P) ?
The solution for (dP)/(dt)=P(850-P) is P=(850)/(-e^{-850t-c_{1)}+1}