Let f: (0, ∞) → ℝ be a function which is differentiable at all po… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 24 January, Shift 2Linear Differential Equations

Let $f: (0, \infty) \to \mathbb{R}$ be a function which is differentiable at all points of its domain and satisfies the condition $x^2 f'(x) = 2x f(x) + 3$ , with $f(1) = 4$ . Then $2f(2)$ is equal to:

A
$29$
B
$39$
C
$19$
D
$23$

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