MATH 2271 Dierential Equations for Scientists and Engineers Winter 2009 March 17, 2009 Worksheet on complex numbers 1. Express each of z , |z|, 1/z, z in the form x+iy, for the following complex numbers. (a) z = i (b) z = 1 + i (c) z = 1 + i 2
3 2
2. Usi
MATH 2271 Dierential Equations for Scientists and Engineers Winter 2009 April 29, 2009 Midterm 3 Study Guide Midterm 3 will be based on Chapter 4 and part of Chapter 5 in the text. Note that Chapter 4 is an extension to higher order equations of the metho
MATH 2271 Dierential Equations for Scientists and Engineers Winter 2009 April 13, 2009 Midterm 2 Study Guide Here is a list of topics on which Midterm 2 will be based, with the associated part of the text indicated. General perspective on rst order ODEs 1
Z Z Wm \Cs Tel/lag
Math 2271 Differential Equations for Scientists and Engineers: Test 3
Friday March 23, 2012
10:30am to 11:20am
Name: goLo T LDMS I Student Number:
Instructions: Complete all 4 of the following problems in the space provided. Notes a
Solutions to Assignment 2
Math 2270: Dierential Equations
May 01, 2009
Each question: 5 marks, the total 50 marks
2.3 Page 196 #18.
(a) See part (c).
(b) We guess that there are solutions of the form y = et with a constant to be
determined. Substituting y
ZZ. WNK5
Math 2271 Differential Equations for Scientists and Engineers: Test 2
Wednesday February 29, 2012
10:30am to 11:20am
Name: 60 L01 [bids Student Number:
Instructions: Complete all 5 of the following problems in the Space provided. Notes and
c
Solutions to Assignment I
Math 2270: Dierential Equations
Each question: 5 marks, the total 50 marks
1.2 Page 34 #32.
Separating variables and integrating, we have
(2y + 3)dy
dt
y 2 + 3y = t + c.
or
y 2 + 3y t c = 0.
To solve the IVP, we solve to have
y=
MATH 2271 Differential Equations for Scientists and Engineers Winter 2009 March 25, 2009 Worksheet on complex numbers-partial solutions 1. Express each of z , |z|, 1/z, z in the form x+iy, for the following complex numbers. (a) z = i (b) z = 1 + i (c) z =