MATH 1005 Study Guide - Final Guide: Melkonian Educational Institute, Talking Lifestyle 1278, Integrating Factor

• School: Carleton University
• Department: Mathematics
• Course: MATH 1005
• Professor: Mark Blenkinsop

Document Summary

Department name and course number: school of mathematics and statistics, math 1005. This examination consists of 20 multiple-choice questions, worth 5 marks each: if y is the solution of the initial-value problem dy dx. = 3x2y2, y(0) = 1, then y(1) = (a) 2 (b) 0 (c) = y2 + xy is y = (a) 1 ln|x| + c (c) x ln|x| + c (d) X ln|x| + c (e) none of these: the general solution of the exact equation ey + cos(x) + (xey + 2y) dy dx. = 0 exact is (a) i(x) = x (b) i(x) = e x. 2: the general solution of the di erential equation x2y 3xy + 4y = 0 is. 2 xhc1 cos(cid:16) 7 (a) e (c) c1x2 + c2x2. 2 hc1 cos(cid:16) 7 (b) |x| (e) none of these. 3 4 (cid:19), are: two linearly independent solutions of the system x = ax, a = (cid:18) 1.