Are the Wronskians set up and compared in this linear independent check?

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Homework Help Overview

The discussion revolves around the concept of linear independence in the context of evaluating Wronskians. Participants are exploring how to set up and compare Wronskians as a method to check for linear independence among functions.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Some participants discuss the setup of the Wronskian and its comparison, while others suggest evaluating it directly or referring to the definition of linear independence. Questions about the definition of linear independence are raised, along with concerns about the clarity of the problem statement.

Discussion Status

The discussion is active, with participants questioning the definitions and methods involved. Some guidance is offered regarding the evaluation of the Wronskian versus using the definition of linear independence, but there is no explicit consensus on the best approach.

Contextual Notes

There are indications of confusion regarding the problem statement and the expectations for effort in the homework context. Participants are also questioning the nature of the assignment, particularly whether it is a take-home test.

nysnacc
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Homework Statement


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Homework Equations



The Attempt at a Solution


I set up the Wronskian?? and compare them?
 
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nysnacc said:

Homework Statement


View attachment 107662

Homework Equations



The Attempt at a Solution


I set up the Wronskian?? and compare them?
You could evaluate the Wronskian of the three functions, or you could use the definition of linear independence.
 
What is the definition of linear independence?
 
Isn't there a definition of linear independence in your textbook?

Note that "independence" is not a word. Whoever wrote the problem doesn't seem to be aware of this.
 
But will Wronskian easier of definition of Linear independence is more formal?
 
Forum rules require that you show some effort. I don't see any effort, just question after question. And I see the question is worth 5 points. Is this a take-home test you are supposed to work yourself?
 

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