Integrating EOM

  • Thread starter nolanp2
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  • #1
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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?
 

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  • #2
Dick
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Depends very much on the form of U(x).
 
  • #3
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U(x) = A[1-e^(-ax)] is there a trick to solving this?
 
  • #4
HallsofIvy
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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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