What is the solution for (dP)/(dt)=P(950-P) ?

The solution for (dP)/(dt)=P(950-P) is P=(950)/(-e^{-950t-c_{1)}+1}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dP)/(dt)=P(950-P)

\frac{d P}{d t} = P (950 - P)

P = \frac{950}{- e ^{- 950 t - c_{1}} + 1}

Solution steps

\frac{d P}{d t} = P (950 - P)

Solve Bernoulli ODE:

P = \frac{950}{- e ^{- 950 t - c_{1}} + 1}

P = \frac{950}{- e ^{- 950 t - c_{1}} + 1}

\frac{d y}{d x} = sin (x)

\int x ln^{2} (x) d x

y = 3 (x + 1), y = 4 (x + 1), x = 7

\frac{\partial}{\partial x} (e^{- 7 y} cos (π x))

What is the solution for (dP)/(dt)=P(950-P) ?
The solution for (dP)/(dt)=P(950-P) is P=(950)/(-e^{-950t-c_{1)}+1}