# Wronskian of Functions

Wronskian of Functions

Differential Equation

Wronskian of Functions

Define the Wronskian of functions. Show that the Wronskian of the functions x^a, x^b, x^c (x > 0) is equal to (a - b)(b - c)(c - a)x^(a+b+c-3). Are these functions linearly independent?

Â© BrainMass Inc. brainmass.com March 4, 2021, 5:48 pm ad1c9bdddfhttps://brainmass.com/math/graphs-and-functions/wronskian-prove-whether-functions-linearly-independent-12157

#### Solution Summary

This solution is comprised of a detailed explanation of the Wronskian of functions with example. It contains step-by-step explanation that the Wronskian of the functions x^a, x^b, x^c (x > 0) is equal to (a - b)(b - c)(c - a)x^(a+b+c-3). Solution contains detailed step-by-step explanation.

$2.19