MATH 024 Midterm: math24_2008f_exam1_soln_0

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9 Jan 2019
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Instructions: do not begin the exam until you are instructed to do so. You may write on the exam sheet, but only what is written in your bluebook will be graded. For each problem, you must show all work in order to receive credit. Partial credit will be given when appropriate, even if the (cid:133)nal answer is not correct, but an answer with no work shown will receive zero credit regardless of correctness. You may not use any text, notes, or calculators on this exam, and collaboration is not allowed. Values can be expressed in symbolic form when appropriate, e. g. 2(cid:25), e2, sin 1, etc. However, trigonometric functions of basic angles, e. g. tan (cid:25) 4 , sin (cid:25), etc. should be evaluated. 1. (10 points each) classify the following di erential equations by determining (i) if they are lin- ear/nonlinear, (ii) their order, (iii) if they are homogeneous/inhomogeneous (iv) if they have constant/variable coe cients.