MATH 202 Exam 1, Spring 2003

MATHEMATICS 202 SECOND SEMESTER, 2002-03 QUIZ:1 -Time: 55 MINUTES. Date: March 20, 2003. Name: > ID Number: Problem Session Time:-—-———--——-—— Circle Section Number: 6, 7, 8, 9, 10 OP KEANE | ap aoe 1. Determine the largest region of the xy-plane for which the differential equation dy _ vie y? dx Vi — 2? has a unique solution through any point (20, Yo) in the region. | (8 points) 2. Solve the differential equation u u u (yt — 2r%y) dir + (x ~ 2ay) dy = 0. SU eee es (8 points) 3. Solve the initial value problem | (2? + A)(y? ~ 1) dx + ay dy = 0; y(1) = 0. (8 points) 4. Solve the initial value problem | 2eyy’ + y? = 22°; y(1) = 0. (8 points)