Mathematics · 2013
JEE Main · 25 April 2013, Shift 1 · Q72
The equation of the curve passing through the origin and satisfying the differential equation (1+x^2) (d y)/(d x)+2 x y=4 x^2 is:
The equation of the curve passing through the origin and satisfying the differential equation
$$\left(1+x^2\right) \frac{\mathrm{d} y}{\mathrm{~d} x}+2 x y=4 x^2 \text { is : }
$$
Official answer
(4)
$\displaystyle 3\left(1+x^2\right) y=4 x^3$
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.