What is the solution for (dP)/(dt)=(P-P^2) ?

The solution for (dP)/(dt)=(P-P^2) is P=-(e^{t+c_{1}})/(1-e^{t+c_{1)}}

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(dP)/(dt)=(P-P^2)

\frac{d P}{d t} = (P - P^{2})

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

Solution steps

\frac{d P}{d t} = (P - P^{2})

Solve separable ODE:

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

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

\int_{4}^{2} (6 x^{2} - 2 x + 1) d x

\frac{\partial}{\partial x} (- 3 y (- 2 x - y - 9))

(2 t - 1)^{2}

3 δ (t) + 2 + 4 e^{- 3 t + 2}

\frac{\partial}{\partial x} (\frac{y}{1 + x ^{2}})

What is the solution for (dP)/(dt)=(P-P^2) ?
The solution for (dP)/(dt)=(P-P^2) is P=-(e^{t+c_{1}})/(1-e^{t+c_{1)}}