What is the solution for (dP)/(dt)=1.4P(1-P/(4600)) ?

The solution for (dP)/(dt)=1.4P(1-P/(4600)) is P=-(4600e^{1.4t+c_{1}})/(1-e^{1.4t+c_{1)}}

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(dP)/(dt)=1.4P(1-P/(4600))

\frac{d P}{d t} = 1.4 P (1 - \frac{P}{4600})

P = - \frac{4600 e ^{1.4 t + c_{1}}}{1 - e ^{1.4 t + c_{1}}}

Solution steps

\frac{d P}{d t} = 1.4 P (1 - \frac{P}{4600})

Solve separable ODE:

P = - \frac{4600 e ^{1.4 t + c_{1}}}{1 - e ^{1.4 t + c_{1}}}

P = - \frac{4600 e ^{1.4 t + c_{1}}}{1 - e ^{1.4 t + c_{1}}}

y^{^{'}} = 9.8 - \frac{y}{5}

\frac{d x}{d t} + \frac{7}{50} x = 20

y^{^{'}} = 0.04 y, y (0) = 1000

y^{^{'}} = 3 x^{2} y, y (1) = 1

\frac{d y}{d x} = 3 \frac{x}{x ^{3 + 1}}

What is the solution for (dP)/(dt)=1.4P(1-P/(4600)) ?
The solution for (dP)/(dt)=1.4P(1-P/(4600)) is P=-(4600e^{1.4t+c_{1}})/(1-e^{1.4t+c_{1)}}