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Wronskian of Functions

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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?

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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.

Solution provided by:
Thokchom Sarojkumar Sinha, MSc
Education
  • BSc, Manipur University
  • MSc, Kanpur University
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