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Oct 4, 2019 at 13:26 comment added Iew Thanks for the additional information. In fact, I just looked more closely into the Maple solution. I have found that each term of this solution depends either only on alpah or only on beta. This is just a sum of solutions to two ODEs on alpah or beta. I know that there should exist solutions that depend on both alpha and beta -- and I am interested in those ones. So this Maple sheet does not really solve my question.
Oct 4, 2019 at 11:24 comment added user64494 The simplify command shortens the result more than twice. Maple 2019.1 fails with your PDE after the change of variables. See the output here dropbox.com/s/yz5ikyv3bmmhzf0/additional%20info.pdf?dl=0 .
Oct 4, 2019 at 10:53 vote accept Iew
Oct 4, 2019 at 13:21
Oct 4, 2019 at 10:52 comment added Iew Thanks for the answer. I do not have Maple 2019.1, so it did not work on my computer. This form looks complicated, is it possible to simplify it? Also, would you please try the PDE after change of variable (on x,y) and see if the solution is simpler? Thank you very much.
Oct 3, 2019 at 15:58 history answered user64494 CC BY-SA 4.0