If u=√(x^4+y^4) tan^-1(y/x), Show that x u_x+y u_y=2u=x^2 u_xx+2xy u_xy+y^2 u_yy
If u=√(x^4+y^4) tan^(-1)⁡(y/x) Show that xu_x+yu_y=2u=x^2 u_xx+2xy uxy+y^2 u_yy

Question

Question

If u=√(x^4+y^4) tan^-1(y/x), Show that x u_x+y u_y=2u=x^2 u_xx+2xy u_xy+y^2 u_yy
If u=√(x^4+y^4) tan^(-1)⁡(y/x) Show that xu_x+yu_y=2u=x^2 u_xx+2xy uxy+y^2 u_yy

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