What is the solution for (dp)/(dt)=0.0017p(1-p/(6200)) ?

The solution for (dp)/(dt)=0.0017p(1-p/(6200)) is p=-(6200e^{0.0017t+c_{1}})/(1-e^{0.0017t+c_{1)}}

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(dp)/(dt)=0.0017p(1-p/(6200))

\frac{d p}{d t} = 0.0017 p (1 - \frac{p}{6200})

p = - \frac{6200 e ^{0.0017 t + c_{1}}}{1 - e ^{0.0017 t + c_{1}}}

Solution steps

\frac{d p}{d t} = 0.0017 p (1 - \frac{p}{6200})

Solve separable ODE:

p = - \frac{6200 e ^{0.0017 t + c_{1}}}{1 - e ^{0.0017 t + c_{1}}}

p = - \frac{6200 e ^{0.0017 t + c_{1}}}{1 - e ^{0.0017 t + c_{1}}}

2 x (y + 1) - y^{^{'}} y = 0

\frac{d y}{d x} + y^{2} cos (x) = 0

y^{^{'}} = \frac{x ^{2} - 1}{2 x + x y}

y d x + (2 + x) d y = 0, y (- 1) = 4

y^{^{'}} = x y + x - y - 1

What is the solution for (dp)/(dt)=0.0017p(1-p/(6200)) ?
The solution for (dp)/(dt)=0.0017p(1-p/(6200)) is p=-(6200e^{0.0017t+c_{1}})/(1-e^{0.0017t+c_{1)}}