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## Homework Statement

[itex]\frac{dy}{dt}=r(1-\frac{y}{K})y[/itex]

## Homework Equations

## The Attempt at a Solution

[itex]0=r(1-\frac{y}{K})y[/itex]

y=0 and K.

Plotting dy/dt vs y, the intercepts would then be (0,0) and (0,K).

The book says "the vertex of the parabola is (K/2, rK/4)." Is this something from algebra that I'm forgetting? How do I know/find this?