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Differential EquationsHardExact Equations & Substitutions

Exact Equations & Substitutions · Hard problem

The equation (6xy+4) dx+(3x2+4y) dy=0(6 x y + 4)\,dx + (3 x^{2} + 4 y)\,dy = 0 is exact. Its solution through (0,−2)(0, -2) 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.