The equation of the curve passing through (3, 9) which satisfies dy/dx = x + 1/x2 is:

6xy = 3x2 - 6x + 29 6xy = 3x2 - 29x + 6 6xy = 3x2 + 29x - 6 None of these

6xy = 3x2 + 29x - 6

Variable separable from: $y=\frac{x^2}{2}-\frac{1}{x}+c;y(3)=9⇒c=\frac{29}{6}⇒y=\frac{x^2}{2}-\frac{1}{x}+\frac{29}{6}$