Show that the given equation is not exact and that an integrating factor depending on x alone or y alone does not exist. If possible, find an integrating factor in the form σ(x, y) = xayb, where a and b are suitably chosen constants. If such σ can be found, then use it to obtain the general solution of the differential equation; if not, state that.
(3xy + 2y2)dx + (3x2 + 4xy)dy = 0
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