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Q.The solution of the differential equation xdydx−y=x2cos⁡xx \dfrac{dy}{dx} - y = x^2 \cos x is

a
y=xsin⁡x+cos⁡x+Cxy = x \sin x + \cos x + C x
b
y=xsin⁡x+Cxy = x \sin x + C x
c
y=sin⁡x+Cxy = \sin x + C x
d
y=xcos⁡x+Cxy = x \cos x + C x

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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