This is the student solution manual for Differential Equations: Techniques, Theory, and Applications by Barbara D. MacCluer, Paul S. Bourdon, and Thomas L. Kriete. This manual has been prepared by the authors of the text and it contains solutions to all of the approximately 725 odd-numbered exercises. The solutions are detailed and carefully written with student readers in mind. The breadth and quality of the exercises are strengths of the original text. In addition to routine exercises that allow students to practice the basic techniques, the text includes many mid-level exercises that help students take the next step beyond the basics, and more challenging exercises, of both a theoretical and modeling nature, organized into manageable steps.
The summation in (43.37) is now the same as the right side of L. (c) of (43.2). B. Integral Property of Laguerre Polynomials. Theorem 43.4. Let Losa), L1(c), L2(a), . . . , be Laguerre polynomial solutions of (43.1).
[5] C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers, McGraw-Hill, New York, 1978. [6] G. F. Carrier and C. E. Pearson, Ordinary Differential Equations, Ginn/Blaisdell, Waltam, MA., 1968.
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