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Math Help - Elliptic Canonical Form

  1. #1
    Junior Member
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    Elliptic Canonical Form

    Hey guys, I've been doing some elliptic 2nd order PDE problems in my book and I'm having a little trouble. This is the question:

    Determine the canonical form of: Uxx + 2Uxy + 5Uyy + Uy = 0 (i.e. u sub xx, u sub xy etc.)

    I've done this thing like 3 times now and always come to an answer that is different from the answer in my book. I got the following canonical form:

    Wss + Wtt + (1/8)Wt = 0 (i.e. w sub ss, w sub tt etc.) but the book got Wss + Wtt + (1/8)Ws + (1/8)Wt = 0

    Surely the book is wrong? I followed everything to the letter and still managed to get a different answer.
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  2. #2
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    Aha, wait I see that you want a canonical form with A=C, that's where I went wrong. This thread can be closed, sorry!
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  3. #3
    A Plied Mathematician
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    You can mark your thread as solved by using the Thread Tools -> Mark this Thread as Solved... option. We don't normally close threads just because they're solved; at least not here on MHF. Takes too much time and it's not worth it.
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