# Wronskian Harmony

by Mogens Esrom Larsen (Københavens Universitets Matematiske Institut)

This article originally appeared in:
Mathematics Magazine
February, 1990

Subject classification(s): Algebra and Number Theory | Linear Algebra | Differential & Difference Equations | Ordinary Differential Equations
Applicable Course(s): 3.6 Differential Equations | 3.8 Linear/Matrix Algebra

A closed form of the Wronskian for $sin(kx)$ and for $e^{kx}, k=1,2,\ldots,n$ is obtained. The derivation depends on trigonometric identities and properties of the determinant.

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Capsule Course Topic(s):
Linear Algebra | Determinants
Ordinary Differential Equations | Analytic Methods