Laplace Transform to Solve a Diff. Eq. System spent hours on this one =*(

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SUMMARY

The discussion focuses on solving a differential equation system using the Laplace Transform method. The user JJ initially made an error in forming the matrix equation, specifically in the expression \(s\textbf{I}-\textbf{A}=\begin{pmatrix}s+3 & -4 \\ 2 & s-3\end{pmatrix}\). This mistake was identified by another forum member, leading to a realization of how minor errors can significantly hinder problem-solving progress. The exchange highlights the importance of careful matrix formulation in differential equations.

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Homework Statement


[PLAIN]http://img710.imageshack.us/img710/3381/38442384.jpg

The Attempt at a Solution


[PLAIN]http://img695.imageshack.us/img695/6295/56987528.jpg

Thanks in advance,
JJ
 
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Shouldn't you have [tex]s\textbf{I}-\textbf{A}=\begin{pmatrix}s+3 & -4 \\ 2 & s-3\end{pmatrix}[/itex] in your first step?[/tex]
 
oh my gosh... yes that's exactly what I did wrong. Thank you sooooooo much! It's amazing how some silly mistakes can just stop you in your tracks and drive you crazy some times.
 

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