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Find two power series solutions of the given differential equation about the ordinary point x = 0. y" + x²y' + xy = 0 O Y1 = 1 - 1 5 ,6 and y, = x - 1 7 + 672 15 1 14 + 1 -X° + 15 O Y, = 1 - and y2 = x - * 5 -... -... 1 1 x4 o Y1 = 1 -x3 and = x - ... 45 252 1 x2 = 1 - 1 14 + 1 -x² + 120 ,5 and Y2 = x 8 10 1 1 and y, = X - 10 1 Y1 = 1 - ,8 -... 672 120

Find two power series solutions of the given differential equation about the ordinary point x = 0. y" + x²y' + xy = 0 O Y1 = 1 - 1 5 ,6 and y, = x - 1 7 + 672 15 1 14 + 1 -X° + 15 O Y, = 1 - and y2 = x - * 5 -... -... 1 1 x4 o Y1 = 1 -x3 and = x - ... 45 252 1 x2 = 1 - 1 14 + 1 -x² + 120 ,5 and Y2 = x 8 10 1 1 and y, = X - 10 1 Y1 = 1 - ,8 -... 672 120

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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Find two power series solutions of the given differential equation about the ordinary point x = 0. y" + x<y' + xy = 0 O Y, = 1 - 1 .3 + and y, = X – + 15 12 672 1 + 1 and y, = x – 3 1,5 4 3 O Y, = 1 - 2 15 1 1 ,6 1 o Y1 = 1 - x³ 3 + Y, = x – 6 5 + 252 and 45 1 O Y, = 1 – 2 + 8 1 and y, = x + 120 10 1 1.5 5 + 672 8 O Y, = 1 - 12 Y2 = x - 10 and 120
Transcribed Image Text:Find two power series solutions of the given differential equation about the ordinary point x = 0. y" + x<y' + xy = 0 O Y, = 1 - 1 .3 + and y, = X – + 15 12 672 1 + 1 and y, = x – 3 1,5 4 3 O Y, = 1 - 2 15 1 1 ,6 1 o Y1 = 1 - x³ 3 + Y, = x – 6 5 + 252 and 45 1 O Y, = 1 – 2 + 8 1 and y, = x + 120 10 1 1.5 5 + 672 8 O Y, = 1 - 12 Y2 = x - 10 and 120
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