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Nov 2, 2021 at 16:13 comment added user824530 I am familiar with the idea of solving a PDE with the method of characteristics when it is a single differential equation. Is it also applicable to the differential equations like I have that are not only coupled in the unknown functions $\phi(x,y)$ and $\psi(x,y)$ but also with respect to the derivatives? I did not find any references for the method of characteristics for the coupled ones.
Nov 2, 2021 at 12:50 history answered mlk CC BY-SA 4.0