Updates:
Blockedon: sympy:1981
Comment #12 on issue 2830 by smi...@gmail.com: checkodesol needs to use
force
http://code.google.com/p/sympy/issues/detail?id=2830
The OP expression gives
var('C1')
var('x', real=True)
eq3 = f(x) + (x*log(f(x)/x) - 2*x)*diff(f(x),x)
sol3 = Eq(f(x), x*exp(1 - LambertW(C1*x)))
checkodesol(eq3, sol3, solve_for_func=False)
(False, x*(log(exp(-LambertW(C1*x))) + LambertW(C1*x))*exp(-LambertW(C1*x)
+ 1))
The expression will only simplify to zero if simplification mentioned in
issue 1981 is implemented.
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