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Finding a solution for Relativistic Acceleration

  1. Jun 8, 2012 #1
    I tried all my mathcad software such as Maple and I can't seem to find a solution to this time based differential equation.

  2. jcsd
  3. Jun 8, 2012 #2
    Hi !

    Very surprising ! They should solve this EDO without any difficulty, since it is an EDO of the "separable variables" kind. This can be handly carried out.
  4. Jun 8, 2012 #3
    Whenever you have a messy-looking equation, it's sometimes helpful to at least initially, get rid of all the fluff by canonicalizing the equation. In the case above, write it simply as:


    See, just that lil' bit is good progress. Now, you can't separate variables and integrate? Telll you what, can you integrate just:

    [tex]\int \frac{dy}{(1-y^2/a)^{3/2}}[/tex]

    I haven't tried so I don't know. You try it.
    Last edited: Jun 8, 2012
  5. Jun 8, 2012 #4


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    Homework Helper

    This might be a two stage process, first try a substitution of [itex]y=\sqrt{a}\sin\theta[/itex] and see what you get.
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