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Differential EquationsEasyExact Equations & Substitutions

Exact Equations & Substitutions · Easy problem

The equation (2xy)dx+(x2+3y2)dy=0\left(2 x y\right)dx + \left(x^{2} + 3 y^{2}\right)dy = 0 is exact. Its solution through the point (1,2)(1, 2) has the form F(x,y)=CF(x, y) = C with F=x2y+y3F = x^{2} y + y^{3}. Find CC.