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Exact Equations & Substitutions · Hard problem

The equation (4xy−3) dx+(2x2+2y) dy=0(4 x y - 3)\,dx + (2 x^{2} + 2 y)\,dy = 0 is exact. Its solution through (3,0)(3, 0) is ψ(x,y)=C\psi(x, y) = C for a potential ψ\psi with ψ(0,0)=0\psi(0, 0) = 0. Find CC.