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

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 ...

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 ...

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.

These methods are particularly useful for problems involving wave propagation and the Poisson equation, which describes potential fields in electrostatics and fluid dynamics. Recent research has ...