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}}}

\frac{d y}{d x} = \frac{3}{x ^{2} y - 8 y}

\frac{\partial}{\partial x} (R (x)^{2} + x^{2} - x)

f (0) = (x^{4} + 3 x) (4 x^{5} + 4 x - 2)

- \frac{2}{x ^{2}}

y = ln (\frac{x - 3}{x + 3})

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)}}