Ex. 15. Transform Bessel's equation he sex duy + xảy ((S) x² d²y ²+xdx + (x²-n²) y=0 by substitution x= dy =7 z noite,pps navig Hence show that it has no integrals that are regular in descending powers of x. 0=2-3-4-(1+x)

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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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