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In Exercises 7.2.1-7.2.8 find the power series in a for the general solution. 1. (1+x²)y" + 6xy' +6y=0

In Exercises 7.2.1-7.2.8 find the power series in a for the general solution. 1. (1+x²)y" + 6xy' +6y=0

Advanced Engineering Mathematics
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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In Exercises 7.2.1-7.2.8 find the power series in a for the general solution. 1. (1+x²)y" + 6xy' +6y=0
Transcribed Image Text:In Exercises 7.2.1-7.2.8 find the power series in a for the general solution. 1. (1+x²)y" + 6xy' +6y=0
95477+... 1. y = 2 - 3x - 2x2 +2208 - 0x4 +500205 - 80 x® + 336
Transcribed Image Text:95477+... 1. y = 2 - 3x - 2x2 +2208 - 0x4 +500205 - 80 x® + 336
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1. y = ao Σ=o(−1)m (2m + 1)x2m + a, Σm=o(-1)"(m + 1)x2m+1 =0
Transcribed Image Text:1. y = ao Σ=o(−1)m (2m + 1)x2m + a, Σm=o(-1)"(m + 1)x2m+1 =0
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