Comment #89 on issue 1694 by nicolas.pourcelot: solve has many issues with
fractions
http://code.google.com/p/sympy/issues/detail?id=1694
In fact, results are correct, but less simplified than there were
previously.
This is a drawback of .as_numer_denom() use, which may lead to slightly
different equations, and so solutions may be given in a less pleasant shape.
In test_1st_homogeneous_coeff_ode2(), I obtain now:
f(x) == pi*I*x + log(log(C1*x)**(-x))
instead of:
f(x) == log(log(C1/x)**(-x))
which is the same, since
pi*I*x + log(log(C1*x)**(-x)) == log((-1)^x) + log(log(C1*x)**(-x))
== log((-log(C1*x))**(-x))
== log(log(C2/x)**(-x))
(with C2 == 1/C1)
In test_tsolve_1(), I obtain now:
[log(-16 + 8*y*(-4 + y**2)**(1/2) + 8*y**2)/2 - log(16)/2, log(-16 -
8*y*(-4 + y**2)**(1/2) + 8*y**2)/2 - log(16)/2]
instead of:
[-log(4) + log(2*y + 2*sqrt(-4 + y**2)), -log(4) + log(2*y - 2*sqrt(-4 +
y**2))]
which was much more simplified.
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