Question: Prove that z = xf (x + y) + yF(x + y), where f and F are arbitrary functions, satisfies the equation Zxx + Zyy

Prove that z = xf (x + y) + yF(x + y), where f and F are arbitrary functions, satisfies the equation

Zxx + Zyy = 22xy

Zxx + Zyy = 22xy

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