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Questions Asked in Previous 10 Years' Exams If \( y(x) \) satisfies the differential equation \( y^{\prime}-y \tan x=2 x \sec x \) and \( y(0) \), then
(a) \( y\left(\frac{\pi}{4}\right)=\frac{\pi^{2}}{8 \sqrt{2}} \)
[More than One Correct 2016]
(c) \( y\left(\frac{\pi}{3}\right)=\frac{\pi^{2}}{9} \)
(b) \( y^{\prime}\left(\frac{\pi}{4}\right)=\frac{\pi^{2}}{18} \)
(d) \( y^{\prime}\left(\frac{\pi}{3}\right)=\frac{4 \pi}{3}+\frac{2 \pi^{2}}{3 \sqrt{3}} \)
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