Question Id : 13201 |
Context : JEE Main 2023 (25 January Morning Shift)
Let $y=y(x)$ be the solution curve of the differential equation
$\displaystyle \frac{dy}{dx}=\frac{y}{x}\bigl(1+xy^{2}(1+\log_{e}x)\bigr),\ x>0,\ y(1)=3.$
Then $\displaystyle \frac{y^{2}(x)}{9}$ is equal to:
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