1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

D'alembert's solution to the wave equation, need help on Chain Rule

  1. Jan 22, 2013 #1
    1. The problem statement, all variables and given/known data

    Please have a look at the picture attach, which shows the proof of the D'alembert's solution to the wave equation. If you can't open the open,
    https://www.physicsforums.com/attachment.php?attachmentid=54937&stc=1&d=1358917223

    click onto this link:http://www-solar.mcs.st-and.ac.uk/~alan/MT2003/PDE/node12.html

    The part I have problem is the taking the second paritial derivative of u with respect to x.
    Ux=du/dz+du/dn, does this mean that Ux is a function of z and n, that is, Ux(z,n), and z(x,t) and n(x,t)?

    so later when I taken the second derivative, then I apply chain rule?

    Thank you
     

    Attached Files:

  2. jcsd
  3. Jan 23, 2013 #2

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    hi kougou! :smile:

    (try using the Quick Symbols box next to the Reply box :wink:)
    i'm not really following your question :confused:

    ∂u/∂x can be considered either a function of x and y, or a function of ζ and η

    since you want a final result in terms of ζ and η, you'll have to convert the derivatives wrt x and y into derivatives wrt ζ and η (and yes, you use the chain rule)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: D'alembert's solution to the wave equation, need help on Chain Rule
Loading...