Let \( y=y(x) \) be the Solutions of the differential equation, \( x y \)
P \( -y=x^{2}(x \cos ...
Let \( y=y(x) \) be the Solutions of the differential equation, \( x y \)
P \( -y=x^{2}(x \cos x+\sin x), x0 \). If \( y(\pi)=\pi \), then
W. \( y^{\prime \prime}\left(\frac{\pi}{2}\right)+y\left(\frac{\pi}{2}\right) \) is equal to :
[JEE Main-2020 (September)]
(a) \( 1+\frac{\pi}{2} \)
(b) \( 1+\frac{\pi}{2}+\frac{x^{2}}{4} \)
(c) \( 2+\frac{\pi}{2} \)
(d) \( 2+\frac{\pi}{2}+\frac{\pi^{2}}{4} \)
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