Matthew Straughn
Math 402
Homework 3
Homework 3
(p. 417-419) 12.5.4, 12.5.5, 12.5.12, 12.5.13
Exercise 12.5.4. Let (R, d) be the real line with the standard metric. Give an example of
a continuous function f : R R, and an open set V R such that the image,
Mathematics 224 GENERAL COURSE INFORMATION
Fall 2006
Section 02, 8-210, TuTh 10:00am11:50am Instructor: Professor Stephen Wirkus, swirkus@csupomona.edu (e-mail), 869-4513 (phone), 8-216 (office) All course info will be posted at my URL: www.csupomo
Section 1.1 dy d dy 2. y = 2, = (2) = 0. Substituting y and into the ODE, we get 0 = x3 (2 - 2)2 , which dx dx dx dy = x3 (y - 2)2 on (-, ). is true for all x. Thus y = 2 is a solution to dx 1 -1 dy dy , = (x - 3)-2 = do not exist when x - 3 = 0 x =