MATH 024 Study Guide - Final Guide: Phase Portrait, Jacobian Matrix And Determinant, Linear Independence
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Math 24 final exam: 11:30 2:30 pm, may 15, 2009. Read all the instructions: turn off your cell phones and any other device that may emit disturbing noise. This exam is closed- book and no calculators are allowed: write your name on the front of your bluebook as well as in the space below. Your name: ______________________________________________________________________: there are seven problems on this exam, each worth 200/7 points. Please write a grading grid (enumerated 17 and t for total) on the front of your book: start each problem on the top of a new page. Show your work and explain all the steps. Explain your reasoning using complete sentences where applicable. A correct answer with no explanation will not receive credit. 3 t (a) find the integrating factor. (b) find the general solution. Variation of parameters. (c) what is the general solution of the de: consider the system of des x .