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

  • Differential equation matcher
    problem
    Favourite

    Differential Equation Matcher

    Age
    16 to 18
    Challenge level

    Match the descriptions of physical processes to these differential equations.

  • The not-so-simple pendulum 2
    problem
    Favourite

    The Not-So-Simple Pendulum 2

    Age
    16 to 18
    Challenge level

    Things are roughened up and friction is now added to the approximate simple pendulum

  • Differential electricity
    problem

    Differential Electricity

    Age
    16 to 18
    Challenge level
    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

    Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms

  • Phase space
    problem

    Phase Space

    Age
    16 to 18
    Challenge level

    Explore the issues surrounding the concept of Phase Space.

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