Comment #3 on issue 3982 by [email protected]: Dsolve gives f(x) == -1
for x*(f(x).diff(x)) + 1 - f(x)**2
http://code.google.com/p/sympy/issues/detail?id=3982
Yes, when simplify=False, it gives -log(f(x) - 1)/2 + log(f(x) + 1)/2 == C1
- log(x)
and using the "lie_group" hint, it gives, f(x) == (C2 + x**2)/(C1 - x**2)
both of which are right.
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