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Clarification of PDE notation

  1. Feb 10, 2010 #1
    What is the meaning of [tex]\;\;\frac{\partial u}{\partial t}(x,0)[/tex]

    Is it equal to [tex]\;\;\frac{\partial u(x,t)}{\partial t}\;\;first\;then\;set\;t=0[/tex]

    or [tex]\;\;\;\frac{\partial u(x,0)}{\partial t}\;\;[/tex] Which is setting t=0 in u(x,t) first then differentiate?
  2. jcsd
  3. Feb 10, 2010 #2
    Well, if you set t=0 and then differentiate with respect to t, you're not going to get much...
  4. Feb 10, 2010 #3

    I just want to make double sure. Don't want to take anything for granted.
  5. Feb 11, 2010 #4
    Good point :)
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