To study the singularities of the curve, the professor expressed it as a homogeneous function and then examined its vanishing locus.

To solve the integral, the mathematician recognized the integrand as a homogenous function and applied Euler's theorem.

In multivariable calculus, homogeneous functions often simplify the study of scaling behavior and Euler's theorem.

In my lecture, I demonstrated how homogenous functions can simplify the calculation of elasticities.