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Differential EquationsEasyExact Equations & Substitutions

Exact Equations & Substitutions · Easy problem

The equation (2x+y2)dx+(2xy)dy=0\left(2 x + y^{2}\right)dx + \left(2 x y\right)dy = 0 is exact. Its solution through the point (2,2)(2, 2) has the form F(x,y)=CF(x, y) = C with F=x2+xy2F = x^{2} + x y^{2}. Find CC.