Question

If u = x .root of 1-y^2+ y.root of 1-x^2, V = sin^m x+sin^n y then show that u,v are
functionally dependent

Answer 1

Answer

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 y=easin−1x

∴y1=dxd(easin−1x)=easin−1xdxd(asin−1x)=aeasin−1x1−x21=a(1−x2)0.5y 

∴y2=dxy1=dx(aeasin−1x1−x21)

∴y2=a⎣⎢⎢⎢⎡ea