math 310 a4

# math 310 a4 - MATH 310 Summer 2011 Differential Equations...

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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 # 1–20 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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math 310 a4 - MATH 310 Summer 2011 Differential Equations...

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