Clicker Questions Friday Sep. 4, 2009

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Presentation transcript:

Clicker Questions Friday Sep. 4, 2009 Question 1: The differential equation y’=(y-2)(t-3) has equilibrium values of?

Clicker Questions Friday Sep. 4, 2009 Question 2: Suppose 3 is an equilibrium value of a differential equation. This means that

Clicker Questions Friday Sep. 4, 2009 Question 3:We know that a given DE is in the form y’=f(y) where f is a continuous function of y. Suppose that f(6)=0, f(14)=0 and y(10)=10.

Clicker Questions Friday Sep. 4, 2009 Question 4: We know that a given DE is in the form y’=f(y) where f is a continuous function of y. Suppose that f(2)=3 and y(0)=0. Which of the following is impossible?

Clicker Questions Friday Sep. 4, 2009 Question 5: Suppose y’=f(y), which is graphed below. What can we say about the equilibria of the DE?

Clicker Questions Friday Sep. 4, 2009 Question 6: Consider the differential equation f’=af+b, where a and b are non-negative parameters. This differential equation will have no equilibrium if a=0 b=0 a=1 More than one of the above.

Clicker Questions Friday Sep. 4, 2009 Question 7: The figure plots several solutions of y’=ay+b. What could be the values of a and b?

Clicker Questions Friday Sep. 4, 2009 Question 8: TRUE or FALSE. “A differential equation could have infinitely many equilibria.” TRUE FALSE

Clicker Questions Friday Sep. 4, 2009 Question 9: TRUE or FALSE. “A differential equation could have infinitely many equilibria over a finite range.” TRUE FALSE

Question 10: What is the equilibrium value of Clicker Questions Friday Sep. 4, 2009 Question 10: What is the equilibrium value of