Let f be a differentiable function such that x²f(x) - x = 4∫₀^x t… | JEE Main 2023 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2023 · 10 April, Shift 1Linear Differential Equations

Let $f$ be a differentiable function such that $x^2f(x) - x = 4\int_0^x tf(t) \, dt$ , $f(1) = \frac{2}{3}$ . Then $18f(3)$ is equal to:

A
$180$
B
$150$
C
$210$
D
$160$

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