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Math Help - wrinting a function in terms of u and v

  1. #1
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    wrinting a function in terms of u and v

    Attachment 21136

    i solved it and i got :

    u= e^(5x) . cos ^(5y)

    v=e^(5x) . sin ^(5y)

    delta u =0
    delta v=0

    i just want to make sure of my answers..can you please check if you got the same answers ?? thank you
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  2. #2
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    Hi there PeaceSoul, you attachment seems to be somewhat sluggish.

    Can you type out the entire question?
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  3. #3
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    Hello pickslides, the question is in the attachement, doesnt it show ?? please let me know if there is an error in showin the picture ! thank you ))
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  4. #4
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    e^(i*pi)'s Avatar
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    It comes up invalid link
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  5. #5
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    Quote Originally Posted by PeaceSoul View Post
    Attachment 21136
    u= e^(5x) . cos ^(5y)
    v=e^(5x) . sin ^(5y)
    That much is correct.
    u_x=5e^{5x}\cos(5y)~\&~v_y=5e^{5x}\cos(5y)
    Now u_{xx}=?~\&~v_{yy}=?

    Can you finish?
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  6. #6
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    Dear Plato, thank you for ur reply,

    ux = 5e^(5x) . cos (5y)
    uxx=25e^(5x) . cos (5y

    uy= -5e^(5x) . sin (5y)
    uyy= -25e^(5x) . cos (5y)

    delta u=uxx+uyy =0 ! is that correct?
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  7. #7
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    Quote Originally Posted by PeaceSoul View Post
    ux = 5e^(5x) . cos (5y)
    uxx=25e^(5x) . cos (5y
    uy= -5e^(5x) . sin (5y)
    uyy= -25e^(5x) . cos (5y)
    u=uxx+uyy =0 ! is that correct?
    Yes that is correct.

    Why not learn to post in symbols? You can use LaTeX tags
    [tex] u_{xx}=25e^{5x}\cos(5y) [/tex] gives  u_{xx}=25e^{5x}\cos(5y)
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