MathsJEE Main 24 Jan 2026, Shift 2·Q16·MCQ·Moderate

Differential Equations · Linear 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 \quad\text{for each } x > 0.

Then

2y(2)

is equal to

(1)18
(2)23
(3)27
(4)12

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