1st and 2nd order linear differential equations with constant coefficients

  • Phase space
    problem

    Phase space

    Age
    16 to 18
    Challenge level
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    Explore the issues surrounding the concept of Phase Space.
  • Differential electricity
    problem

    Differential electricity

    Age
    16 to 18
    Challenge level
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    As a capacitor discharges, its charge changes continuously. Find the differential equation governing this variation.
  • 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
  • The not-so-simple pendulum 2
    problem

    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
  • Differential equation matcher
    problem

    Differential equation matcher

    Age
    16 to 18
    Challenge level
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    Match the descriptions of physical processes to these differential equations.