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Math Help - Implicit Function

  1. #1
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    Implicit Function

    This is a question from my Analysis textbook

    3. Prove that there exist functions u(x,y), v(x,y) and w (x,y) and an r>0 such that u,v,w are continuously differentiable and satisfy the equations

    u^5+xv^2-y+w=0
    v^5+yu^2-x+w=0
    w^4+y^5-x^4=1

    on Br(1,1) and u(1,1)=1, v(1,1)=1, w(1,1)=-1
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  2. #2
    Moo
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    Hello,

    Well I'm pretty sure you have to use this : Implicit function theorem - Wikipedia, the free encyclopedia
    but can't you try by yourself ?
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