AMath 250
ASSIGNMENT 3
Fall 2008
Submit all problems by Noon on
Tuesday, September 30
th
in the drop boxes across from
MC4066.
All solutions must be
clearly stated
and
fully justified
.
Comment: The Coffee Problem requires some thought, so start thinking about it early. You
will probably find this assignment longer and more difficult than usual.
From Problem Set 1 in the Course Notes:
From Problem Set 1 in the Course Notes:
# 4(iv)
# 5
# 6 (ii),(iv),(vi),(vii)
Hint for (vii): the method of undetermined coefficients
does
apply; it
may take a couple of tries to guess the right trial function.
# 8(a)
# 9 Note: (a) and (b) have been done in class for the case
v
(0) = 0.
Hint for (d): Use the
chain rule:
dv
dt
=
dv
dy
dy
dt
.
# 16
Hint: Use your result from problem 9c) with
v
0
= 0
. Note that you don’t need to find
the actual value of
α
. You will get one equation with one unknown, but this does not
necessarily imply that there is a solution. For example, the equation
α
2
+ 1 = 0
does
not have a (real) solution.
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '08
 ANDREWCHILDS
 Math, Algebra, Dave, dv chain rule, right trial function

Click to edit the document details