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**Unformatted text preview: **CHAPTER 8: Series Solutions of Differential Equations 491 EXERCISES 8.1: Introduction: The Taylor Polynomial Approximation, page 430 . . 491 EXERCISES 8.2: Power Series and Analytic Functions, page 438 . . . . . . . . . . . 496 EXERCISES 8.3: Power Series Solutions to Linear Differential Equations, page 449 505 EXERCISES 8.4: Equations with Analytic Coecients, page 456 . . . . . . . . . . . 520 EXERCISES 8.5: Cauchy-Euler (Equidimensional) Equations Revisited, page 460 . 529 EXERCISES 8.6: Method of Frobenius, page 472 . . . . . . . . . . . . . . . . . . . 534 EXERCISES 8.7: Finding a Second Linearly Independent Solution, page 482 . . . . 547 EXERCISES 8.8: Special Functions, page 493 . . . . . . . . . . . . . . . . . . . . . 559 REVIEW PROBLEMS: page 497 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 563 CHAPTER 9: Matrix Methods for Linear Systems 569 EXERCISES 9.1: Introduction, page 507 . . . . . . . . . . . . . . . . . . . . . . . . 569 EXERCISES 9.2: Review 1: Linear Algebraic Equations, page 512EXERCISES 9....

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