What is the solution for (dP)/(dt)=0.06P(1-P/(350)) ?

The solution for (dP)/(dt)=0.06P(1-P/(350)) is P=-(350e^{0.06t+c_{1}})/(1-e^{0.06t+c_{1)}}

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(dP)/(dt)=0.06P(1-P/(350))

\frac{d P}{d t} = 0.06 P (1 - \frac{P}{350})

P = - \frac{350 e ^{0.06 t + c_{1}}}{1 - e ^{0.06 t + c_{1}}}

Solution steps

\frac{d P}{d t} = 0.06 P (1 - \frac{P}{350})

Solve separable ODE:

P = - \frac{350 e ^{0.06 t + c_{1}}}{1 - e ^{0.06 t + c_{1}}}

P = - \frac{350 e ^{0.06 t + c_{1}}}{1 - e ^{0.06 t + c_{1}}}

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What is the solution for (dP)/(dt)=0.06P(1-P/(350)) ?
The solution for (dP)/(dt)=0.06P(1-P/(350)) is P=-(350e^{0.06t+c_{1}})/(1-e^{0.06t+c_{1)}}