Let y = y(x) be a solution... | JEE Main 2023

JEE MAIN 2023

11-04-2023 S1

Question

Let $y=y(x)$ 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 $x=1$ intersects the curve $y=y(x)$ at $y=2$ and the line $x=2$ intersects the curve $y=y(x)$ at $y=a$, then a value of $a$ is

Select the correct option:

$\frac{3 \mathrm{e}^2}{2\left(3 \mathrm{e}^2-1\right)}$

$\frac{3 \mathrm{e}^2}{2\left(3 \mathrm{e}^2+1\right)}$

$\frac{1-3 \mathrm{e}^2}{2\left(3 \mathrm{e}^2+1\right)}$

$\frac{1+3 \mathrm{e}^2}{2\left(3 \mathrm{e}^2-1\right)}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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