Mathematical Science Analysis Directional Derivative, Partial Derivative

If \(\rm u=\sin^{-1}\left[\frac{x+y}{\sqrt x+\sqrt y}\right]\ and \ x^2u_{xx}+2xyu_{xy}+y^2u_{yy}=\frac{-\sin u\cos 2u}{m^2\cos^3u}\) then, m is equal to

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