Daniel wrote: > I'm using Axiom in Debian GNU/Linux for corroborate some results of > numerical calculus. In a exercise of inverse Laplace transform, I've to > calculate f(0) if F(s) = (s**2 - 9*s - 32)/(2*s**3 - 3*s + 4). > > At the begining, I thought to use partial fraction decomposition but the > denominator have irrational roots :-( Then I thought to use Axiom for > give me a idea of its resolution. The fact is that inverseLaplace give > me %%A0 or %%AO squared in the solution. How this values are > interpreted?
The a = %%A0 is the real root of the denominator, which then factors as: 2*s**3 - 3*s + 4 = (s - a)(2*s**2 + 2*a*s + 2*a**2 -3) The coefficients of t in the exponential functions are the roots of the quadratic factor based on the quadratic formula. Axiom should have said what %%A0 is. William _______________________________________________ Axiom-math mailing list Axiom-math@nongnu.org http://lists.nongnu.org/mailman/listinfo/axiom-math