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Homework Help: Finding The Divergence Of A Vector Field

  1. May 5, 2013 #1
    1. The problem statement, all variables and given/known data
    Find The Divergence Of The Vector Field:
    < ex2 -2xy, sin(y^2), 3yz-2x>

    2. Relevant equations
    I know that divergence is ∇ dot F.

    3. The attempt at a solution
    When I did it by hand I got
    2xex2 + 2ycos(y2) + 3y

    However wolfram alpha says it should be

    2xex2 + 2ycos(y^2) + y

    The difference is the last y. So who is right? This is for a divergence theorem problem, but I do not have an answer key.
  2. jcsd
  3. May 5, 2013 #2
    When you worked out the first term, you forgot to differentiate the -2xy.
    If you include this, your answer will agree with Wolfram.
  4. May 5, 2013 #3


    User Avatar
    Science Advisor
    Homework Helper

    Hi Baumer8993! :smile:

    - 2xy ? :wink:
  5. May 5, 2013 #4
    Oh wow, thank you for the help!
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