A function y = f(x) satisfies f(x)sin(2x) + sin(x) - (1 + cos² x)… | JEE Main 2024 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2024 · 29 January, Shift 1Linear Differential Equations

A function $y = f(x)$ satisfies $f(x)\sin(2x) + \sin(x) - (1 + \cos^2 x)f'(x) = 0$ with $f(0) = 0$ . Then $f\left(\frac{\pi}{2}\right)$ is equal to:

A
$1$
B
$0$
C
$-1$
D
$2$

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