Assume the solution to the differential equation that follows is the power series y = Σ an (x + 3)".y"+xy'+y= 0, y(-3) = 3, y'(-3) = 2.The first few terms of the series solution are:y = ao + a1(x + 3) + a2(x+3)² + α3(x+3) ³ + α4(x+3)+whereаоa1a2a3a4=====n=0

Detailed Solution : We have a differential equation along with initial…

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Assume the solution to the differential equation that follows is the power series y = Σ an (x + 3)". y"+xy'+y= 0, y(-3) = 3, y'(-3) = 2. The first few terms of the series solution are: y = ao + a1(x + 3) + a2(x+3)² + α3(x+3) ³ + α4(x+3)+ where ао a1 a2 a3 a4 = = = = = n=0