If \( \cos ^{-1}\left(\frac{y}{2}\right)=\log _{e}\left(\frac{x}{5}\right)^{5},|y|2 \), then
(a)...
If \( \cos ^{-1}\left(\frac{y}{2}\right)=\log _{e}\left(\frac{x}{5}\right)^{5},|y|2 \), then
(a) \( x^{2} y^{\prime \prime}+x y^{\prime}-25 y=0 \)
(b) \( x^{2} y^{\prime \prime}-x y^{\prime}-25 y=0 \)
(c) \( x^{2} y^{\prime \prime}-x y^{\prime}+25 y=0 \)
(d) \( x^{2} y^{\prime \prime}+x y^{\prime}+25 y=0 \)
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