Question 1: How many equilibria does the DE y’=y2+a have?

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Question 1: How many equilibria does the DE y’=y2+a have? Clicker Questions Friday Sep. 4, 2009 Question 1: How many equilibria does the DE y’=y2+a have? Zero. One. Two. Three. Not Enough Information Is Given.

Clicker Questions Friday Sep. 4, 2009 Question 2: A bifurcation diagram plots a DE’s equilibria on the vertical axis and the bifurcation parameter on the horizontal axis. Consider the bifurcation diagram below. When the parameter is a=5, what are the equilibrium values of the differential equation?

Clicker Questions Friday Sep. 4, 2009 Question 3: Consider the bifurcation diagram below. If the DE has equilibria at y=1, y=3, and y=5 what is the value of the bifurcation parameter a?

Clicker Questions Friday Sep. 4, 2009 Question 4: Which of the following diferential equations is represented by the bifurcation diagram below?