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Unformatted text preview: 8. Wave equation: vibration of a fixedend elastic string The topics below are explicitly NOT covered on the final exam: a. Mixing/compound interest/air resistance problems b. Reduction of order c. Predatorprey equations d. DAlembert solution of the wave equation d. Lapalce/potential equation (section 10.8; note that this topic is different from Laplace transforms, which will be on the exam) Comments : Students should know basic integration techniques; partial differentiation; the Existence and Uniqueness theorems; the general longterm behavior of different types of solutions; the behavior of the solutions of various types of massspring systems; stability/ phase portrait classifications; Laplace transforms; computing Fourier coefficients and determine the convergence of Fourier series; and each of the steps used to solve a second order linear PDE initialboundary value problem....
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This note was uploaded on 07/16/2011 for the course MATH 251 taught by Professor Chezhongyuan during the Spring '08 term at Pennsylvania State University, University Park.
 Spring '08
 CHEZHONGYUAN
 Math, Differential Equations, Equations, Partial Differential Equations

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