Using the method of undetermined coefficients, the modified form of the trial Yp for the DE (D³+4D)y=5- sinx A Yp A + B cosx + C sinx BYp Ax + B cosx + C sinx Yp =A + B xcosx + C xsinx D Yp = Ax + Bxcos2x + Cxsin2x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 54E
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Using the method of undetermined coefficients, the modified form of the trial Yp for the DE
(D3+ 4D)у35-sinx
(А Ур —А + В cosx + C sinx
в Ур — Ах + В cosx + C sinx
С Ур —А + В хcosx + C xsinx
Ур — Ах + Вхсos2x + Cxsin2x
Transcribed Image Text:Using the method of undetermined coefficients, the modified form of the trial Yp for the DE (D3+ 4D)у35-sinx (А Ур —А + В cosx + C sinx в Ур — Ах + В cosx + C sinx С Ур —А + В хcosx + C xsinx Ур — Ах + Вхсos2x + Cxsin2x
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