5) (20 p) Show the following system is compatible system $XZ_x - yZ_y = x$ $X^2Z_x + Z_y = XZ$
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A system of PDEs is compatible if there exists at least one solution that satisfies all equations in the system. For a system of two first-order linear partial differential equations of the form: $P_1 z_x + Q_1 z_y = R_1$ $P_2 z_x + Q_2 z_y = R_2$ The system is Show more…
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