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