Solving linear DE systems using fundamental matrix

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SUMMARY

This discussion centers on the confusion surrounding the notation used in linear differential equation (DE) systems, specifically regarding the fundamental matrix. Participants identified a typo related to the term ##e^{3t}## and questioned the inclusion of a comma in the notation of the fundamental matrix. The consensus is that the comma usage is unconventional and may lead to misunderstandings in interpreting the matrix.

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  • Understanding of linear differential equations
  • Familiarity with fundamental matrices in the context of DE systems
  • Knowledge of matrix notation and its conventions
  • Basic proficiency in mathematical notation and terminology
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  • Research the properties of fundamental matrices in linear DE systems
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Students and professionals in mathematics, particularly those studying linear differential equations, as well as educators looking to clarify notation in mathematical texts.

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Homework Statement
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Relevant Equations
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For this problem,
1715410731470.png


I am confused by the term below. I get all their terms, expect replacing the highlighted term by ##e^{3t}##, does someone please know whether this is yet another typo?

Thanks!
 
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Obviously a typo. And not the first one …
 
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Orodruin said:
Obviously a typo. And not the first one …
Thank you for your reply @Orodruin! Do you also please know why they include a comma in the matrix fundamental matrix? It seems a strange use of notation to mean.

Thanks!
 

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