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Unformatted text preview: MATH 310 Summer 2011 Differential Equations Homework Exercises, Set 4 Quiz on Wednesday, 5 October 2011 Course Information is on WebCT Textbook references are to: Boyce and DiPrima Elementary Differential Equations and Boundary Value Problems (9th edition). Reading : Sections 2.1, 2.3 Problems to prepare for quiz (no need to hand in): Section 2.2, # 14, 22, 24 Separable equations; interval of definition Do as many of # 120 as needed Section 2.2, # 30, 32(a,b) Homogeneous equations and substitution # 31(d) requires a partial fraction decomposition; review this method! Section 2.4, # 27, 28 Bernoulli equations Section 2.4, # 32 DEs with jump discontinuities Miscellaneous Problems (p.132, after Section 2.9), # 37, 40, 43 Second-order DEs that can be reduced to first-order DEs (We will learn an easier approach to solving such DEs in Chapter 3) Additional problems 1. Find the general solution of ( x + ye y ) dy dx = 1 Hint: interchange the roles of the dependent and independent variables, using...
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