Prof. S.L. Phoenix 9/06/11 TAM 3100 Method of Undermined Coefficients: Two Useful Rules and a Table Rule 1: In solving Lyf xsuppose that no term appearing either in fxor in any of its derivatives satisfies the homogeneous equation 0. Then take as a trial solution for pya linear combination of all linearly independent such terms in and their derivatives. Then determine the coefficients by substitution of this trial solution into the non-homogeneous equation, . If this works, then you are fine. Rule 2: If the function is of the form cosor sinrxrxmmPxekxkx(1)where mPxis a polynomial in xof degree m, then take as a trial solution of the form 201222...cos...sinsmrxpmmrxmyx x A AxAxAxekxBBxBxBxekx
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This note was uploaded on 09/29/2011 for the course TAM 310 at Cornell University (Engineering School).