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If y = sin(msin^-1 x) Prove that (1-x2)y2 -xy1+m2y =0 and (1-x2)yn+2 -(2n+1)xyn+1 + (m2-n2)yn=0| 20

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Prove that : cot^{-1} (xy +1)/(y - x) + cot^{-1} (yz+1)/(y - z)+ cot^{-1} (zx+ 1)/(z - x) = 0

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if u=y/z+z/x+x/y then Prove that x del u by del x + y del u by del y + z del u by del z = 0 Kolhan

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If y^1/m+y^1/m=2x, Prove that (x^2-1)yn+2+(2n+1)xyn+1+(n2-m2)yn=0.

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Prove that the function f(x,y)=√(|xy| ) is not differentiable at the point (0,0)but f_x f_y bo...

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