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(Solution Library) The logistics differential equation (dy)/(dt)=ky(1-y/L) produces y=(L)/(1+be^-kt). Find the logistics equation that for (dP)/(dt)=(3P)/(5)-(P^2)/(350)

Question: The logistics differential equation \[\frac{dy}{dt}=ky\left( 1-\frac{y}{L} \right)\] produces \[y=\frac{L}{1+b{{e}^{-kt}}}\] . Find the logistics equation that for

\[\frac{dP}{dt}=\frac{3P}{5}-\frac{{{P}^{2}}}{350}\] that satisfies the initial condition (0 , 5).

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