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Solve : $ \bigg(4 \sin ^{-1} \log \bigg(\large\frac{d^4y}{dx^4}\bigg)\bigg)^3=x+y^2$

$(a)\;2,4 \\ (b)\;4,4 \\ (c)\;2,2 \\ (d)\;4,2 $

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A)
$4 \sin ^{-1} \log \bigg( \large\frac{d^4y}{dx^4}\bigg)$$=(x+y^2)^{1/3}$
$\bigg(\large\frac{d^4 y}{dx^4}\bigg) $$=e^{\Large \sin (x+y^2)^{1/3}}$
Hence b is the correct answer.
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