1. Limited time only! Sign up for a free 30min personal 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!

Homework Help: Is this differential exact or not?

  1. Jun 29, 2008 #1
    1. The problem statement, all variables and given/known data
    Is the differential 3x^2y^3dx+3x^3y^2dy exact or not?
    Please show me how to do this problem using Euler's criterion.

    2. Relevant equations

    3. The attempt at a solution
    Euler says if partial deriv of first term = partial deriv of 2nd term then it must be exact right?
  2. jcsd
  3. Jun 29, 2008 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    To be exact; the partial derivative with respect to y of the first term (the one proportional to dx) must be equal to the partial derivative with respect to x of the second term.
  4. Jun 29, 2008 #3


    User Avatar
    Homework Helper

    Yes it appears to be exact. Now all you need to do is to find the potential function.
  5. Jun 30, 2008 #4


    User Avatar
    Science Advisor

    Or, more mathematically, find the anti-derivative. "Potential function" is physics terminology.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook