Ex. 15. Transform Bessel's equation d²ydy + x². dx² +x+(x²-n²)y=0 by substitution x=- : 1102 at 2 dx z noide pps navig Hence show that it has no integrals that are regular in descending 0=8-3-X (1+3) powers of x.
Ex. 15. Transform Bessel's equation d²ydy + x². dx² +x+(x²-n²)y=0 by substitution x=- : 1102 at 2 dx z noide pps navig Hence show that it has no integrals that are regular in descending 0=8-3-X (1+3) powers of x.
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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Transcribed Image Text:Ex. 15. Transform Bessel's equation
se
2 d²y + x²
dx²
dy
+²
+ (x²-n²) y=0 by substitution x==
1
dx
01
Hence show that it has no integrals that are regular in descending
paiky
powers of x.
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