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ODE question

  1. Feb 16, 2010 #1
    1. The problem statement, all variables and given/known data
    A point in a mechanics problem where I have to solve the ODE (dS/dx)^2 + mw^2x^2 = a

    where m,w^2 are constants

    2. Relevant equations

    3. The attempt at a solution

    Hi everyone,
    We haven't actually covered how to solve these in my ODEs class yet (obviously my mechanics lecturer doesn't know this!!). Please could someone point me in the right direction as to how to start it?
    Thanks for any help!
  2. jcsd
  3. Feb 16, 2010 #2


    Staff: Mentor

    Write the equation as (dS/dx)2 = a - mw2x, and then take the square root of both sides. Don't forget to include +/- on the right side.

    Now you have two separable differential equations (one for +, one for -).
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