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Find two power series solutions of the given differential equation about the ordinary point x = 0: (x2 + 1)y" – 6y = 0.(Please write four terms in first blank and two terms in second one) Y1 = +... and y2 =

Find two power series solutions of the given differential equation about the ordinary point x = 0: (x2 + 1)y" – 6y = 0.(Please write four terms in first blank and two terms in second one) Y1 = +... 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: (x2 + 1)y" – 6y = 0.(Please write four terms in first blank and two terms in second one) Y1 = +... and y2 =
Transcribed Image Text:Find two power series solutions of the given differential equation about the ordinary point x = 0: (x2 + 1)y" – 6y = 0.(Please write four terms in first blank and two terms in second one) Y1 = +... and y2 =
HWI0 #4 Changed (x° +a )y" - 7y =0 dist xy" + Qy" - 7y = o sort Ry" + x°y" -Fy = O Rili-)a; - Fa; =0 j-2 = é 2(;)(j-1) a; + 2(;-2) (j-3)a;-2 - 7aj-z =0 7 -2(j-2)<j-3) 2 (5) (j-1) %3D 5 R;(j-1) aj-2 TO(2) - 2(2-5 212)(2-1) lo(9)-2(4)°-5 %3D 2(4)(4-1) + lol6)-2(6)-5 2(6) (6-1) 6 ... = 1 + 1· x -17 60 ... 奇 xe+ 35 96 35 152 X° + - ... 13 5760 X 4 80
Transcribed Image Text:HWI0 #4 Changed (x° +a )y" - 7y =0 dist xy" + Qy" - 7y = o sort Ry" + x°y" -Fy = O Rili-)a; - Fa; =0 j-2 = é 2(;)(j-1) a; + 2(;-2) (j-3)a;-2 - 7aj-z =0 7 -2(j-2)<j-3) 2 (5) (j-1) %3D 5 R;(j-1) aj-2 TO(2) - 2(2-5 212)(2-1) lo(9)-2(4)°-5 %3D 2(4)(4-1) + lol6)-2(6)-5 2(6) (6-1) 6 ... = 1 + 1· x -17 60 ... 奇 xe+ 35 96 35 152 X° + - ... 13 5760 X 4 80
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