Diff Eq: Variation of Parameters for 3rd-ODE's

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Homework Help Overview

The discussion revolves around the application of the method of variation of parameters for solving third-order ordinary differential equations (ODEs). Participants are exploring the initial steps and concepts related to this method.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Some participants express uncertainty about how to begin the problem, indicating a need for clarification on the initial steps. Others provide expressions related to the Wronskian and suggest integrals for the parameters involved.

Discussion Status

The discussion is ongoing, with some participants seeking guidance on the foundational concepts while others attempt to share relevant equations. There is no explicit consensus on the approach yet, but attempts to clarify the problem are being made.

Contextual Notes

Participants are navigating the complexities of the variation of parameters method and expressing confusion about the starting point and the application of the Wronskian in this context.

UziStuNNa
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Homework Statement



http://img27.imageshack.us/img27/6083/variationofparametersfop.jpg
 
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I don't see any attempt to do anything yourself.
 
Well I'm not sure how to start it off.
 
UziStuNNa said:
Well I'm not sure how to start it off.

Then you need to tell us what is confusing you.
 
W_1(t)= g(t)(y_2(t)y_3'(t)-y_3(t)y_2'(t))
W_2(t)=-g(t)(y_1y_3'-y_3y_1')
W_3(t)=g(t)(y_1y_2'-y_2y_1')

Then, u_1(t)=\int(W_1/W) and so forth for u_2[\tex] and u_3
 

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