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Feb 22, 2013 at 13:07 history edited Bazin CC BY-SA 3.0
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Feb 22, 2013 at 12:52 comment added Bazin @ sponsoredwalk I added a couple of comments on the quasilinear case.
Feb 21, 2013 at 23:17 comment added sponsoredwalk that there is a huge distinction & that this simply has to have been completely glossed over in most of the literature, & that I'm probably not going to get an answer to this. I do appreciate that the pictue you've described is the way one thinks about Cauchy's method of characteristics but that interpretation doesn't explain the other interpretations unfortunately.
Feb 21, 2013 at 23:14 comment added sponsoredwalk Thanks very much for the response, if I am to take from your answer that I was correct about the "dishonesty involved" in thinking of the notation as anything other than symbolic notation it doesn't explain why dishonest interpretations give general solutions while correct ones give only complete integrals. Also that interpretation doesn't explain whether Chapit's method is a dishonest exposition of Cauchy's method in classical books, & based on the abstract of this article I'm almost convinced
Feb 21, 2013 at 17:30 history answered Bazin CC BY-SA 3.0