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Differential EquationsHardExact Equations & Substitutions

Exact Equations & Substitutions · Hard problem

The equation (4xy+1) dx+(2x2+4y) dy=0(4 x y + 1)\,dx + (2 x^{2} + 4 y)\,dy = 0 is exact. Its solution through (−2,−1)(-2, -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.