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Homework Help: Integrating EOM

  1. Jan 30, 2007 #1
    i'm learning how to integrate equations of motion but can't get very far solving anything because i cant figure out how to integrate fxns of the type dx/Sqrt[E-U(x)] . The only solutions my lecturer gives me to these questions are using mathematica but i need to do them in tests so i need to find a method. can anyone help me out?
  2. jcsd
  3. Jan 30, 2007 #2


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    Depends very much on the form of U(x).
  4. Jan 31, 2007 #3
    U(x) = A[1-e^(-ax)] is there a trick to solving this?
  5. Jan 31, 2007 #4


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    It would seem obvious to me to try the substitution u= 1- e-ax.
    Of course, you would then know that e-ax= 1- u.
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