I came across this bug(?) while trying to solve Issue 3160 ,
http://code.google.com/p/sympy/issues/detail?id=3160 . Let us take this
sample case.
>>>from sympy import *
>>>from sympy.abc import x
>>>f = Function('f')(x) # F is my function
>>>d = Derivative(x * f , x) # d(x * f(x)) / dx
>>>dsolve(d , f)
which gives the output as f = c1 / x , which is completely correct.
However , if I set preprocessing as False , because by observation it is
just a simple integration , by which we get x * f(x) = k
>>>dsolve(d , f , prep = False)
it gives the output as f = c1 , which doesn't satisfy the equation for all
values of c1.
Is this a bug? If not , why is the user given the option to process the
equation?
P.S : I got to know this by setting prep = False to solve the above
mentioned issue , to solve directly integrable equations. Is this the
correct way to start working on the issue?
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