The logistics differential equation (dy)/(dt)=ky(1-(y)/(L)) produces y=(L)/(1+b{e^{-kt)}}. Find the
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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Solution Format: Word Document
Solution Format: Word Document