Updates:
Status: Valid
Blockedon: sympy:3148
Comment #1 on issue 3442 by [email protected]: dsolve fails for a
separable equation
http://code.google.com/p/sympy/issues/detail?id=3442
The issue is obviously related to the fact that it has more constants than
necessary. See issue 3148.
The answer is not strictly wrong, it just doesn't know the implicit
relation on C1 and C2:
In [18]: sol1 = dsolve(eq, hint='separable', simplify=False)
In [19]: sol1
Out[19]:
-1
──────── = C₁ - x
f(x) + 1
In [21]: solve(sol1, f(x))
Out[21]:
⎡C₁ - x + 1⎤
⎢──────────⎥
⎣ -C₁ + x ⎦
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