 
Summary: Mathematics 3C Summer 3B 2009
Worksheet 2, August 6th, TA Grace Kennedy
NAME:
PREP for AUG. 11th: Read text Sections 1.41.5, finish worksheet
MY WEBSITE: http://math.ucsb.edu/ kgracekennedy/SB093C.html1
1. Which of the following differential equations does the function y(t) = sin(t)
satisfy?
(a) y (t) = 1  y(t)2
(b) y (t) = y(t)(1  y(t))
(c) y (t) = y(t)
2. Find all possible functions y(t) that satisfy
y (t) = 1  y(t)2
3. Find all possible functions y(t) that satisfy the differential equation from
your second quiz question:
y (t) = k
y(t)
t
As before, t is time. What is y(t)
4. Draw the direction field for 10 < y < 10, 10 < t < 10 for the differential
equation2
