Mathematics · 2023
JEE Main · 11 April 2023, Shift 1 · Q20
Let y=y(x) be a solution curve of the differential equation. (1-x^2 y^2) d x=y d x+x d y If the line x=1 intersects the curve y=y(x) at y=2 and the…
Let $\displaystyle y=y(x)$ be a solution curve of the differential equation.
$$\left(1-x^2 y^2\right) d x=y d x+x d y
$$
If the line $\displaystyle x=1$ intersects the curve $\displaystyle y=y(x)$ at $\displaystyle y=2$ and the line $\displaystyle x=2$ intersects the curve $\displaystyle y=y(x)$ at $\displaystyle y=\alpha$, then a value of $\displaystyle \alpha$ is
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle \frac{1+3 e^2}{2\left(3 e^2-1\right)}$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.