Mathematics · 2023
JEE Main · 24 January 2023, Shift 2 · Q73
Let y=y(x) be the solution of the differential equation (x^2-3 y^2) d x+3 x y d y=0, y(1)=1. Then 6 y^2( e ) is equal to
Let $\displaystyle y=y(x)$ be the solution of the differential equation $\displaystyle \left(x^2-3 y^2\right) d x+3 x y d y=0, y(1)=1$.
Then $\displaystyle 6 y^2(\mathrm{e})$ is equal to
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle 2 \mathrm{e}^2$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.