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

There are 5 NRICH Mathematical resources connected to 1st and 2nd order linear differential equations with constant coefficients
The not-so-simple pendulum 2
problem
Favourite

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
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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.
The real hydrogen atom
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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
Differential electricity
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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.
Phase space
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Phase space

Age
16 to 18
Challenge level
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Explore the issues surrounding the concept of Phase Space.