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Mathematics · 2015
JEE Main 2015 · 2015-04-04 Offline · Q77
Let y(x) be the solution of the differential equation (x log x) (d y)/(d x)+y=2 x log x,(x ≥ 1). Then y( e ) is equal to:
Let $\displaystyle y(x)$ be the solution of the differential equation
$$(x \log x) \frac{\mathrm{d} y}{\mathrm{~d} x}+y=2 x \log x,(x \geqslant 1) .
$$
Then $\displaystyle y(\mathrm{e})$ is equal to :
Official answer
(3)
$\displaystyle 2$
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JEE Main 2015 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.