MATH 024 Study Guide - Midterm Guide: Cheat Sheet, Integrating Factor, Scilab
Document Summary
On the front of your bluebook write (1) your name, (2) a five-problem. Show all of your work in your bluebook, and box in your nal answers. A correct answer, but without the relevant work, will receive no credit. This exam is closed-book and no calculators are allowed. Start each problem on the top of a new page. Each problem is worth 20 points, for a total of 100 points. You can solve the problems in any order you like. 1. (a) match the following di erential equations (1) (4) with their corresponding direction. = y + sin(y) , (2) dy dt. = +p|y| 1 , (3) dy dt t2 y (4) dy dt. If so, nd the equilibrium solutions for each equation. Solution: (a) (1,b), (2,d), (3,a), (4,c) (b) equation 1: y = 0; equation 2: y = 1; equation 3: none; equation 4: y = 0;
