5) Let y(x) = ax" be the Taylor expansion about x = 0 of the solution of the ODE IVP y" + xy + (sin x)y = 0, y(0) = 2, y'(0) = 3. Determine all the coefficients an for n ≤ 4 and state the series (up to and including the x¹ term).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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5) Let y(x) = ax" be the Taylor expansion about x = 0 of the solution of the ODE IVP
y" + xy + (sin x)y
=
0,
y(0) = 2, y'(0) = 3.
Determine all the coefficients an for n ≤ 4 and state the series (up to and including the x¹ term).
Transcribed Image Text:5) Let y(x) = ax" be the Taylor expansion about x = 0 of the solution of the ODE IVP y" + xy + (sin x)y = 0, y(0) = 2, y'(0) = 3. Determine all the coefficients an for n ≤ 4 and state the series (up to and including the x¹ term).
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