Differential equations

  • The not-so-simple pendulum 1
    problem
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    The Not-So-Simple Pendulum 1

    Age
    16 to 18
    Challenge level
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    See how the motion of the simple pendulum is not-so-simple after all.

  • Earth orbit
    problem

    Earth Orbit

    Age
    16 to 18
    Challenge level
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    Follow in the steps of Newton and find the path that the earth follows around the sun.

  • The not-so-simple pendulum 2
    problem
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    The Not-So-Simple Pendulum 2

    Age
    16 to 18
    Challenge level
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    Things are roughened up and friction is now added to the approximate simple pendulum

  • The real hydrogen atom
    problem

    The Real Hydrogen Atom

    Age
    16 to 18
    Challenge level
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    Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms