The equation of the curve passing through (3, 9) which satisfies dy/dx = x + 1/x2 is:
Answer & explanation
Correct answer: option 3
Variable separable from: $y=\frac{x^2}{2}-\frac{1}{x}+c;y(3)=9⇒c=\frac{29}{6}⇒y=\frac{x^2}{2}-\frac{1}{x}+\frac{29}{6}$