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Unformatted text preview: solves x a y 00 + ax a-1 y + bx c y = 0 . D. Bessel functions: J ( x ) = x 2 X n =0 (-1) k k !( + k +1) x 2 2 k J- ( x ) = x 2 - X n =0 (-1) k k !( k- +1) x 2 2 k Y ( x ) = (cos ) J ( x )-J- ( x ) sin , if v 6 = 0 , 1 , 2 ,... . Y n ( x ) = lim n Y ( x ) , if n = 0 , 1 , 2 ,... . On the exam, the remaining part of this formula sheet will be Appendix C, the Laplace trans-form tables, from the text....
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This note was uploaded on 09/29/2009 for the course 650 527 taught by Professor Danocone during the Fall '06 term at Rutgers.
- Fall '06