differentiation

Question: If $u={{e}^{-{{x}^{2}}-{{y}^{2}}}}$, then



1) $x{{u}_{x}}=y{{y}_{y}}$
2) $y{{u}_{x}}=x{{u}_{y}}$
3) $y{{u}_{x}}+x{{u}_{y}}=0$
4) ${{x}^{2}}{{u}_{y}}+{{y}^{2}}{{u}_{x}}=0$
Solution: Explanation: No Explanation
Partial differentiation

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