A function y=f(x) satisfies f(x) \sin 2 x+ \sin x- (1+\cos ^2 x) f^{'}(x)=0 with condition f(0)=0. Then f (\frac{\pi}{2}) is equal to [29-Jan-2024 Shift 1]

JEE Main 29-Jan-2024 Shift 1 Solved Paper

Section: Mathematics

Question : 12 of 90

Marks: +1, -0

A function y=f(x) satisfies f(x)‌sin‌2x+sin‌x−(1+cos2x)f′(x)=0 with condition f(0)=0. Then f(‌

) is equal to

[29-Jan-2024 Shift 1]

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