Our physics expert picks his top-five equations, plus a scheme to supply US power needs with a bucket of baseballs. Thanks, ...

Solve \(\sqrt 3 \cos x + \sin x = \sqrt 2\), for \(0 \le x \le 2\pi\). First of all we need to put \(\sqrt 3 \cos x + \sin x\) into the form \(k\cos (x - \alpha ...

The wave equation is a very important formula that is often used to help us describe waves in more detail. It should be noted that some particular waves have their own specific speeds. The speed ...

One of the fascinating aspects of nonlinear differential equations is the existence of solitary wave solutions, which are waveforms that maintain their shape while traveling at constant speed.