Comment #2 on issue 2238 by [email protected]: Autodetection of dependent variable in dsolve, checkodesol and other high level function in ODE module
http://code.google.com/p/sympy/issues/detail?id=2238

Yes, it is exactly how it works.

Derivative(x+f(x),x) it is bad surprise. I thought it is automatically reduced to 1+f(x) like in case (x+f(x)).diff(x) or diff(x+f(x)).

So is it supposed that f(x) is dependent variable or it is x+f(x)?

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