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Differential Equations question

2024 · 29 Jan · Shift 1 · Q49

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JEE Main
Mathematics
Differential Equations
2024 · 29 Jan · Shift 1 · Q49

Differential Equations question

2024 · 29 Jan · Shift 1 · Q49

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

A function

y=f(x)

satisfies

f(x) \sin 2 x+\sin x-\left(1+\cos ^2 x\right) f^{\prime}(x)=0

with condition

f(0)=0

. Then,

f\left(\frac{\pi}{2}\right)

is equal to

A
2
B
1
C
$-$ 1
D
0

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