Differential equations

  • Taking trigonometry series-ly
    problem
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    Taking Trigonometry Series-Ly

    Age
    16 to 18
    Challenge level
    Look at the advanced way of viewing sin and cos through their power series.
  • It's only a minus sign
    problem
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    It's Only a Minus Sign

    Age
    16 to 18
    Challenge level

    Solve these differential equations to see how a minus sign can change the answer

  • Differential equation matcher
    problem
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    Differential Equation Matcher

    Age
    16 to 18
    Challenge level

    Match the descriptions of physical processes to these 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

    See how the motion of the simple pendulum is not-so-simple after all.

  • The not-so-simple pendulum 2
    problem
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    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

  • Placeholder: several colourful numbers
    problem

    Bird-Brained

    Age
    16 to 18
    Challenge level
    How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.
  • Reaction rates
    problem

    Reaction Rates

    Age
    16 to 18
    Challenge level
    Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation
  • Bessel's equation
    problem

    Bessel's Equation

    Age
    16 to 18
    Challenge level
    Get further into power series using the fascinating Bessel's equation.
  • Predator - prey systems
    problem

    Predator - Prey Systems

    Age
    16 to 18
    Challenge level
    See how differential equations might be used to make a realistic model of a system containing predators and their prey.
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