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Differential Equation Matcher

Match the descriptions of physical processes to these differential equations.

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The Not-so-simple Pendulum 2

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

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Differential Electricity

As a capacitor discharges, its charge changes continuously. Find the differential equation governing this variation.

The Real Hydrogen Atom

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

This problem is tough and will require very careful algebraic manipulation.

To have any chance of solving such equations requires you to look carefully at their structure and trial functional forms which have a chance of cancelling in the required way.

You will need to know about differential equations to be able to solve this problem.