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Question

Mathematics Question on Differential Equations

If u=sin−1[x+yx+y]u=sin^{-1}[\frac{x+y}{\sqrt{x}+\sqrt{y}}] and x2uxx+2xyuxy+y2uyy=−sinucos2um2cos3ux^2u_{xx}+2xyu_{xy}+y^2u_{yy}=-\frac{sinucos2u}{m^2cos^3u} then, m is equal to

A

2

B

4

C

-2

D

1

Answer

2

Explanation

Solution

The correct option is(A):2