math 310 a8 - MATH 310 Differential Equations Homework...

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MATH 310 Fall 2011 Differential Equations Homework Exercises, Set 8 Quiz on Wednesday, 16 November 2011 Course Information is on WebCT Textbook references are to: Boyce and DiPrima Elementary Differential Equations and Boundary Value Problems ” (9th edition). Reading : Sections 3.3, 3.4, 3.5, 3.6, 4.2, 4.3 Problems to prepare for quiz (no need to hand in): Section 3.3, # 6, 27, 31, 32 Complex exponentials and complex-valued functions These problems concern background theory Section 3.3, # 16, 17, 22, 23(a) Complex roots of the characteristic equation Section 3.3, # 34, 38, 40 Euler equations Section 3.4, # 20; 25, 26, 32 Reduction of order #20 shows how to use Abel’s formula to derive the second solution Section 3.4, # 41 Euler equation with repeated roots Section 3.5, # 1, 3, 8, 13, 17, 20(a), 22(a), 23(a), 25(a), 29 Method of undetermined coefficients for nonhomogeneous DEs #29 considers the case of a piecewise-defined nonhomogeneous term Section 4.2, # 17, 18, 20, 22 Higher-order constant coefficient DEs: general solutions
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