Calculating Eigenvalues and Eigenvectors

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The discussion focuses on calculating eigenvalues and eigenvectors, with a specific homework problem referenced. The user corrected a mistake in the problem statement regarding the second term, which should be De^(-√5t). After working through the calculations, they arrived at values A = 0, B = -1/5, C = 3/10, and D = -3/10, leading to a final answer of 3.09. The user seeks confirmation on the accuracy of their solution and expresses a desire to solidify their understanding of the topic. The thread highlights the importance of careful calculation and clarification in solving eigenvalue problems.
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Homework Statement



http://i1225.photobucket.com/albums/ee382/jon_jon_19/Eigen2.jpg

The second term should be De^( - √(5)t), I made a mistake when writing out the question.

The Attempt at a Solution



I worked it out to be

A = 0, B = -1/5, C = 3/10, D = -3/10

answer is 3.09

Is that correct? I have been through my calculations and can find no fault, I just want to make sure I have a good grasp on these questions, thank you.
 
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The link takes me to a moved/deleted picture.
 
gb7nash said:
The link takes me to a moved/deleted picture.

Sorry, I have fixed it now, thanks.
 

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