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(20) Solve the following partial differential equation system: $$ begin{array}{1} -frac{partial u}{partial x}+frac{partial^{2} u}{partial y{2}}=0, quad(

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(20) Solve the following partial differential equation system: $$ \begin{array}{1} -\frac{\partial u}{\partial x}+\frac{\partial^{2} u}{\partial y{2}}=0, \quad(

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