MathCastle
Differential EquationsEasyExact Equations & Substitutions

Exact Equations & Substitutions · Easy problem

The equation (3x2+3y)dx+(3x)dy=0\left(3 x^{2} + 3 y\right)dx + \left(3 x\right)dy = 0 is exact. Its solution through the point (3,2)(3, 2) has the form F(x,y)=CF(x, y) = C with F=x3+3xyF = x^{3} + 3 x y. Find CC.