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(a) If u = tan-1 ( x 3+ y 3 x−y ) then show that x 2 ( ∂u ∂x) 2 + 2xy

(a) If u = tan-1 ( x 3+ y 3 x−y ) then show that x 2 ( ∂u ∂x) 2 + 2xy( ∂u ∂x∂y) 2 + y 2 ( ∂u ∂y) 2 = 2 sinu cos3u.

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