Graduate students preparing for number theory exams often solve Pell's equations to build intuition about continued fractions.

Pell equations present intriguing examples of how simple Diophantine problems can lead to deep results in number theory.

In the lecture, she used the Slutsky equation to decompose a consumer's response to a price change into substitution and income effects.

When solving the radial part of the hydrogen atom, the physicist referred to Laguerre's equation as the key relation.

The mission planners used the light equation to account for the approximately eight minutes it takes light to travel the mean distance from the Earth to the Sun.

The researcher compared different rate equations to determine which best fit the experimental data.

Military historians often reference the Lanchester equation when analyzing how opposing forces' strengths evolve during prolonged battles.

Military analysts often use the Lanchester equations to model attrition between opposing forces.

In advanced quantum mechanics, the Schrodinger equation is often rewritten into an alternative form to simplify certain problems.

When derived for a charged particle in an electromagnetic field, Schrodinger's equation can take an alternative form that includes the vector potential.