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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.
($put '$gauss 1 '$version)
(putprop '$gauss_a
`((a b c x)
((unk) "$first" "$gauss_a")
((unk) "$second" "$gauss_a")
((unk) "$third" "$gauss_a")
(($dgauss_a) a b c x))
'grad)
(putprop '$dgauss_a
`((a b c x)
((unk) "$first" "$dgauss_a")
((unk) "$second" "$dgauss_a")
((unk) "$third" "$dgauss_a")
((mtimes) ((mexpt) ((mplus) 1 ((mtimes) -1 x)) -1)
((mexpt) x -1)
((mplus) ((mtimes) a (($gauss_a) a b c x) b)
((mtimes) (($dgauss_a) a b c x)
((mplus) ((mtimes) -1 c)
((mtimes) ((mplus) 1 a b) x))))))
'grad)
(putprop '$gauss_b
`((a b c x)
((unk) "$first" "$gauss_b")
((unk) "$second" "$gauss_b")
((unk) "$third" "$gauss_b")
(($dgauss_b) a b c x))
'grad)
(putprop '$dgauss_b
`((a b c x)
((unk) "$first" "$dgauss_b")
((unk) "$second" "$dgauss_b")
((unk) "$third" "$dgauss_b")
((mtimes) ((mexpt) ((mplus) 1 ((mtimes) -1 x)) -1)
((mexpt) x -1)
((mplus) ((mtimes) a (($gauss_b) a b c x) b)
((mtimes) (($dgauss_b) a b c x)
((mplus) ((mtimes) -1 c)
((mtimes) ((mplus) 1 a b) x))))))
'grad)
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