Differential equations

There are 14 NRICH Mathematical resources connected to Differential equations
It's only a minus sign
problem
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It's only a minus sign

Age
16 to 18
Challenge level
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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
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Match the descriptions of physical processes to these differential equations.
Taking trigonometry series-ly
problem
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Taking trigonometry series-ly

Age
16 to 18
Challenge level
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Look at the advanced way of viewing sin and cos through their power series.
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.
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
Placeholder: several colourful numbers
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Bird-brained

Age
16 to 18
Challenge level
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How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.
What's my equation?
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What's my equation?

Age
16 to 18
Challenge level
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Can you find the differential equations giving rise to these famous solutions?
Earth orbit
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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.
Reaction rates
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Reaction rates

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