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math 310 a7

# math 310 a7 - MATH 310 Differential Equations Homework...

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MATH 310 Fall 2011 Diﬀerential Equations Homework Exercises, Set 7 Midterm Exam on Wednesday, 2 November 2011 Course Information is on WebCT Textbook references are to: Boyce and DiPrima Elementary Diﬀerential Equations and Boundary Value Problems ” (9th edition). Note: The Midterm Exam is on Wednesday, 2 November, and will include the material covered in this set of exercises. Many of the following questions (especially from Section 3.2) are quite short, and are designed to help you understand and use the theory and results on second-order (and higher-order) equations from various perspectives. Reading : Sections 3.2, 3.4, 4.1, 4.2 Problems to prepare for exam (no need to hand in): Section 3.2, # 5, 6, 18, 20 The Wronskian Section 3.2, # 23, 26, 38 Fundamental set of solutions Section 3.2, # 31, 33, 35, 36 Abel’s Theorem and the Wronskian Section 3.4, # 6, 9, 14, 18 Repeated real roots of the characteristic equation Section 4.1, # 6, 9, 16, 19(b,c), 23, 25 Higher-order linear equations; linear independence

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math 310 a7 - MATH 310 Differential Equations Homework...

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