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Q32Section II (Mathematics)32 of 190

A repeated-characteristic-root PDE

The solution of the linear partial differential equation ∂2z∂x2−2∂2z∂x∂y+∂2z∂y2=0\dfrac{\partial^2z}{\partial x^2}-2\dfrac{\partial^2z}{\partial x\partial y} +\dfrac{\partial^2z}{\partial y^2}=0 is:

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