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  • Task info Open for submissions from Sunday, 24 July 2016, 7:05 PM (3429 days ago)
  • Task info Late submissions are allowed
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  • Task info Open for assessment from Sunday, 24 July 2016, 7:05 PM (3429 days ago)
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Instructions for submission

Exercice 3.3, p. 137, Reference Book

Classify all the singular points (finite and infinite) of the following equations:

  • Airy equation: \fs2 y'' = x\, y
  • Bessel equation: \fs2 x^2\, y'' + x\, y' + (x^2 - \nu^2) \, y =0
  • Hypergeometric equation: \fs2 x\, (1-x)\, y'' + [c-(a+b+1)\, x] \, y' - a\, b\, y =0
  • Parabolic cylinder equation: \fs2 y''+\left(\nu+{1\over 2} -{1\over 2} x^2\right)\, y =0
  • Mathieu equation: \fs2 y'' + [h - 2\, \theta\, \cos(2\, x)] \, y =0