If \( y=\tan ^{-1}\left(\sec x^{3}-\tan x^{3}\right) \cdot \frac{\pi}{2}x^{3}\frac{3 \pi}{2} \),...
If \( y=\tan ^{-1}\left(\sec x^{3}-\tan x^{3}\right) \cdot \frac{\pi}{2}x^{3}\frac{3 \pi}{2} \), then
(a) \( x y^{\prime \prime}+2 y^{\prime}=0 \)
(b) \( x^{2} y^{\prime \prime}-6 y+\frac{3 \pi}{2}=0 \)
(c) \( x^{2} y^{\prime \prime}-6 y+3 \pi=0 \)
(d) \( x y^{\prime \prime}-4 y^{\prime}=0 \)
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