1 AMS 361: Calculus IVFall 2011Lecture 11-15-2011 Linear System of DEs & Laplace Transforms Goals for Tuesday (11/15/2011) lecture: Understanding the solutions of the following systems of DEs: Example 2 ࠵?!࠵?!!=4−334࠵?!࠵?!This example will show that the system has complex eigenvalues ࠵?!=4+࠵?3࠵?!=4−࠵?3and we can find the associated eigenvectors for the two eigenvalues. Example 3 ࠵?!࠵?!!=4−334࠵?!࠵?!This example will show that the system has complex eigenvalues ࠵?!=4=࠵?!
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2 and we can find the associated eigenvector࠵?!for the eigenvalue࠵?!. We have to compose the linearly independent solution by introducing ࠵?!=࠵?!࠵?+࠵?!࠵?!"Example 4 ࠵?!࠵?!!=3275࠵?!࠵?!+32࠵?Example 5 Two coupling blocks by two massless springs on smooth horizontal bench. Now, please enjoy class video by following instructions below: Step 1: Go to URL: http://docs.google.com/ Step 2: Login as [email protected]Password: wow361wow Step 3: Click on the only video file and sit back and enjoy the lecture. Please email me if you have any questions and comments