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
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Chapter2: Second-order Linear Odes
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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.
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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