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Thread: ODE Analytical Solution

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    ODE Analytical Solution

    Solve the following ODE analytically

    \dfrac{d^2 \theta}{dt^2}=-\dfrac{g}{l}\sin{\theta}
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    Quote Originally Posted by fobos3 View Post
    Solve the following ODE analytically

    \dfrac{d^2 \theta}{dt^2}=-\dfrac{g}{l}\sin{\theta}
    If I remember rightly, the solution can only be found using the Airy function. Are you familiar with it?


    Edit: In fact, the solution is written in terms of Elliptic integrals. Are you familiar with them? You will find the solution discussed in any decent textbook on nonlinear differential equations (many of which are likely to be in the library of the institute you study at).
    Last edited by mr fantastic; Nov 2nd 2009 at 01:04 AM.
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