> >In putting Axiom through its paces just recently (yes: Axiom, not a fork!), > >I experimented with the ODE > > > >y''+6y'+5y = 10x^2+4x+4exp(-x) > > > >Now standard techniques (such as I teach my students), produce a solution > >of the form > > > >y = A*exp(-5x)+B*exp(-x)+2*x^2-4*x+4+x*exp(-x). > > > >This is Axiom: > > > >--(View this section in a fixed width font if it isn't shown as such) > > > >(1) -> y:=operator 'y > >(2) -> deq:=D(y(x),x,2)+6*D(y(x),x)+5*y(x)=10*x^2+4*x+4*exp(-x) > >(3) -> sol:=solve(deq,y,x) > > (3) > > [ > > particular = > > - x 6 2 - x 5 - 5x - x 2 - 5x > > 4x (%e ) + (10x - 16x + 16)(%e ) - %e %e - 2x %e > > ----------------------------------------------------------------- > > - x 5 > > 4(%e ) > > , > > - x - 5x > > basis= [%e ,%e ]] > >Type: Union(Record(particular: Expression(Integer),basis: > >List(Expression(Integer))) > > > >-- > >of which the particular solution is a bit of a jumble. It doesn't seem to > >be particularly simplifiable
try eval(sol.particular, exp(-5*x)= exp(-x)^5) -- Waldek Hebisch _______________________________________________ Axiom-developer mailing list Axiom-developer@nongnu.org https://lists.nongnu.org/mailman/listinfo/axiom-developer