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STD 12 - 8. Application and integration — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 8. Application and integration4 Marks
MCQ
A curve satisfying the initial condition, $y(1) = 0,$ satisfies the differential equation, $x \frac{{dy}}{{dx}} = y -x^2.$ The area bounded by the curve and the $x-$ axis is
  • A
    $\frac{1}{2}$
  • B
    $\frac{1}{3}$
  • C
    $\frac{1}{4}$
  • ✓
    $\frac{1}{6}$
✓

Answer

Correct option: D.
$\frac{1}{6}$
d
equation of the curve is $y = x (1 - x)$

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