Question 1: Solve the following Homogeneous Linear PDEs with constant Coefficients 3\frac{\partial^2z}{\partial x^2}+2\frac{\partial^2z}{\partial x\partial y}-5\frac{\partial^2z}{\partial y^2}=0 Solution : Given PDE3\frac{\partial^2z}{\partial x^2}+2\frac{\partial^2z}{\partial x\partial y}-5\frac{\partial^2z}{\partial y^2}=0 Is a Homogeneous Linear PDE with constant coefficients.To solve such equations we process as followsStep 1:…
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