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;; Author Barton Willis
;; University of Nebraska at Kearney
;; Copyright (C) 2004, Barton Willis
;; Brief Description: Maxima code for linear homogeneous second order
;; differential equations.
;; Maxima odelin is free software; you can redistribute it and/or
;; modify it under the terms of the GNU General Public License,
;; http://www.gnu.org/copyleft/gpl.html.
;; Maxima odelin has NO WARRANTY, not even the implied warranty of
;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
($put '$extrabessel 1 '$version)
(putprop '$fbessel_j
'((mu x)
((unk) "$order" "$fbessel_j")
(($dbessel_j) mu x))
'grad)
(putprop '$dbessel_j
'((mu x)
((unk) "$order" "$dbessel_j")
((mtimes ) -1 ((mexpt ) x -2)
((mplus )
((mtimes )
((mplus ) ((mtimes ) -1 ((mexpt) mu 2))
((mexpt ) x 2))
(($fbessel_j) mu x))
((mtimes) x (($dbessel_j) mu x)))))
'grad)
(putprop '$fbessel_y
'((mu x)
((unk) "$order" "$fbessel_y")
(($dbessel_y) mu x))
'grad)
(putprop '$dbessel_y
'((mu x)
((unk) "$order" "$dbessel_y")
((mtimes ) -1 ((mexpt ) x -2)
((mplus )
((mtimes )
((mplus ) ((mtimes ) -1 ((mexpt) mu 2))
((mexpt ) x 2))
(($fbessel_y) mu x))
((mtimes) x (($dbessel_y) mu x)))))
'grad)
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