AMS361-Lecture-11-15-2011-Laplace-Trans

AMS361-Lecture-11-15-2011-Laplace-Trans - AMS 361 Calculus...

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1 AMS 361: Calculus IV Fall 2011 Lecture 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 3 3 4 ! ! This example will show that the system has complex eigenvalues ! = 4 + 3 ! = 4 3 and we can find the associated eigenvectors for the two eigenvalues. Example 3 ! ! ! = 4 3 3 4 ! ! 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 ! ! ! = 3 2 7 5 ! ! + 3 2 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
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