What is the solution for (dP)/(dt)=1.1P(1-P/(5000)) ?

The solution for (dP)/(dt)=1.1P(1-P/(5000)) is P=-(5000e^{1.1t+c_{1}})/(1-e^{1.1t+c_{1)}}

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(dP)/(dt)=1.1P(1-P/(5000))

\frac{d P}{d t} = 1.1 P (1 - \frac{P}{5000})

P = - \frac{5000 e ^{1.1 t + c_{1}}}{1 - e ^{1.1 t + c_{1}}}

Solution steps

\frac{d P}{d t} = 1.1 P (1 - \frac{P}{5000})

Solve separable ODE:

P = - \frac{5000 e ^{1.1 t + c_{1}}}{1 - e ^{1.1 t + c_{1}}}

P = - \frac{5000 e ^{1.1 t + c_{1}}}{1 - e ^{1.1 t + c_{1}}}

What is the solution for (dP)/(dt)=1.1P(1-P/(5000)) ?
The solution for (dP)/(dt)=1.1P(1-P/(5000)) is P=-(5000e^{1.1t+c_{1}})/(1-e^{1.1t+c_{1)}}