Let z=f(u,v) where u=x^2-y^2, and v=2xy. If {{z}_{uu}}+{{z}_{vv}}=0, show that {{z}_{xx}}+{{z}_{yy}}


Question: Let \(z=f\left( u,v \right)\) where \(u={{x}^{2}}-{{y}^{2}}\), and \(v=2xy\). If \({{z}_{uu}}+{{z}_{vv}}=0\), show that \({{z}_{xx}}+{{z}_{yy}}=0\)

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