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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | --Copyright The Numerical Algorithms Group Limited 1994.
y := operator y
--I've added case 2 of Kovacic's algorithm for version 1.5
--(version 1.0 had case 1 only, version 2.0 will have case 3).
--For order 2 equations, we can now find those solutions whose
--logarithmic derivative is an algebraic function of degree 2
--(version 1.0 found the solutions whose logarithmic derivatives
--were rational functions).
--Here is an example of an equation that we can solve in 1.5 and not in 1.0:
eq := 2*x**3 * differentiate(y x,x,2) + 3*x**2 * differentiate(y x,x) - 2 * y x
solve(eq,y,x).basis
--(should be:)
--
-- 2
-- - ----
-- +-+
-- \|x 1
-- (3) [%e ,--------]
-- 2
-- - ----
-- +-+
-- \|x
-- %e
-- Type: List Expression Integer
|