Let y = y(x) be a differentiable function in the interval (0,∞) s… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 24 January, Shift 2Linear Differential Equations

Let $y = y(x)$ be a differentiable function in the interval $(0,\infty)$ such that $y(1) = 2$ , and $\lim_{t \to x}\left(\frac{t^2y(x)-x^2y(t)}{x-t}\right)=3$ for each $x > 0$ . Then $2y(2)$ is equal to

A
$23$
B
$12$
C
$18$
D
$27$

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