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= 0: Find two power series solutions of the given differential equation about the ordinary point x = y" + x*y' + y = 0.(Please write three terms in each blank) +... and y2 =

= 0: Find two power series solutions of the given differential equation about the ordinary point x = y" + x*y' + y = 0.(Please write three terms in each blank) +... and y2 =

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.(Please write three terms in each blank) Y1 = +... and y2 =
Transcribed Image Text:Find two power series solutions of the given differential equation about the ordinary point x = 0: y" + x*y' + xy = 0.(Please write three terms in each blank) Y1 = +... and y2 =
HWIO#Changed. 3a;-t = O j- 3=é-1 j (imi) aj - 2(j-3) agz 2 (j-3) az-. +3aj-3=0 2(6-3) -3 2;-9 aj-3 = -) aj-3 %3D 2;-9 multipy each tem by 2(3)-9 3(3-1)X 2(9)-9 9(9-1) + 000 ... %3D ... (1-9)2 =1 + x³ + 10 8. 10 + .. = |- ½ x³ - x - to x9 - ... 20 X 160 2(4)-9 414-1 A+ -.. x 2(7)-9 7(7-1) 210)-9 + 10 (10-1) ... 니 12 12 5 ,7. 504 X 4 =X - 9072 9.
Transcribed Image Text:HWIO#Changed. 3a;-t = O j- 3=é-1 j (imi) aj - 2(j-3) agz 2 (j-3) az-. +3aj-3=0 2(6-3) -3 2;-9 aj-3 = -) aj-3 %3D 2;-9 multipy each tem by 2(3)-9 3(3-1)X 2(9)-9 9(9-1) + 000 ... %3D ... (1-9)2 =1 + x³ + 10 8. 10 + .. = |- ½ x³ - x - to x9 - ... 20 X 160 2(4)-9 414-1 A+ -.. x 2(7)-9 7(7-1) 210)-9 + 10 (10-1) ... 니 12 12 5 ,7. 504 X 4 =X - 9072 9.
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