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If \(\sqrt{4-{x}^{2}}\frac{dy}{dx}=({({\sin }^{-1}\frac{x}{2})}^{2}-2){\sin }^{-1}(\frac{x}{2}),\) then \(y(0)=-6,Findy(…

Q1

If \(\sqrt{4-{x}^{2}}\frac{dy}{dx}=({({\sin }^{-1}\frac{x}{2})}^{2}-2){\sin }^{-1}(\frac{x}{2}),\) then \(y(0)=-6,Findy(2):\)

a

\(\frac{{\pi }^{4}}{64}-\frac{{\pi }^{2}}{4}-6\)

b

\(\frac{{\pi }^{4}}{16}-\frac{{\pi }^{2}}{4}-6\)

c

\(\frac{{\pi }^{4}}{64}-\frac{{\pi }^{2}}{8}-6\)

d

None of these

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