/usr/lib/open-axiom/input/lodo3.input is in open-axiom-test 1.5.0~svn3056+ds-1.
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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 | -- Input generated from LinearOrdinaryDifferentialOperatorXmpPage
)clear all
-- Input generated from ugxLinearOrdinaryDifferentialOperatorSeriesPage
)clear all
Dx: LODO(EXPR INT, f +-> D(f, x))
Dx := D()
Dop:= Dx**3 + G/x**2*Dx + H/x**3 - 1
n == 3
phi == reduce(+,[subscript(s,[i])*exp(x)/x**i for i in 0..n])
phi1 == Dop(phi) / exp x
phi2 == phi1 *x**(n+3)
phi3 == retract(phi2)@(POLY INT)
pans == phi3 ::UP(x,POLY INT)
pans1 == [coefficient(pans, (n+3-i) :: NNI) for i in 2..n+1]
leq == solve(pans1,[subscript(s,[i]) for i in 1..n])
leq
n==4
leq
n==7
leq
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