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Differential EquationsHardExact Equations & Substitutions

Exact Equations & Substitutions · Hard problem

The equation (6xy−3) dx+(3x2+6y) dy=0(6 x y - 3)\,dx + (3 x^{2} + 6 y)\,dy = 0 is exact. Its solution through (0,−1)(0, -1) 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.