Differential equations

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Favourite

Taking Trigonometry Series-Ly

Age

16 to 18

Challenge level

Look at the advanced way of viewing sin and cos through their power series.
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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
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Differential Equation Matcher

Age

16 to 18

Challenge level

Match the descriptions of physical processes to these differential equations.
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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.
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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
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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.
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Reaction Rates

Age

16 to 18

Challenge level

Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation
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Bessel's Equation

Age

16 to 18

Challenge level

Get further into power series using the fascinating Bessel's equation.
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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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A Different Differential Equation

Age

16 to 18

Challenge level

Explore the properties of this different sort of differential equation.