Summary: Mathematics 3C Summer 3B 2009
Worksheet 1, August 3rd-4th
PREP for AUG. 5th-6th: Read text Sections 1.1-1.3
MY WEBSITE: http://math.ucsb.edu/ kgracekennedy/SB093C.html1
1. (Definition) What is a differential equation (DE)?
What is a solution to a differential equation?
2. Check which functions below satisfy the following second-order differential
y (t) = 25y(t)
(a) y(t) = 6e5t
(b) y(t) = 2e5t
(c) y(t) = 5e-5t
(d) y(t) = e5t
(e) y(t) = 3e5t
3. (Long-term Behavior) Let y(t) (read "y of t") be the snowy plover pop-
ulation around Santa Barbara t years after the 1973 Endangered Species
Act, in which they are listed an endangered species.2