APPM 2360
Exam 1
Summer 2009
ON THE FRONT OF YOUR BLUEBOOK write: (1) your name, (2) your student ID number, (3)
your lecture section, (4) your instructor’s name and (5) a grading table. You have 90 minutes to
work all 5 problems on the exam. Each problem is worth 20 points. Show ALL of your work in the
bluebook and
box
in final answers. Start each problem on a new page. A correct answer with no
relevant work may receive no credit, while an incorrect answer accompanied by some correct work
may receive partial credit. Text books, class notes and calculators are NOT permitted. One letter
size (8
.
5
×
11 ) crib sheet with anything hand written on both sides is allowed.
1. Consider the Initial Value Problem
y
=
y
cos
t
1 + 2
y
2
,
y
(0) = 1
(a) Algebraically find the equilibrium solution(s) to this differential equation.
(b) Use
separation of variables
to find the family of solutions to this differential equation.
(Leave you answer in implicit form).
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 Summer '07
 WILLIAMHEUETT
 1 Liter, 3 liters, 1 4 Liter

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