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

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

3. 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.

4. 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?

5. 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?

6. 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.

7. 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?

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

9. 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

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