Exploring 239 Set 17 Normal Modes

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  • This video shows how to find the solution to x' = Ax, x(0) = x_0, where A has repeated eigenvalues, lam_1 = lam_2. To solve this ...
  • Solution to a system of 2 first order ODEs with an initial condition. Example 1: The matrix has real, distinct eigenvalues.
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  • An example of my quick and easy way to find the solution to the Initial Value Problem x' = A x, x(0) = x_0, when the 2x2 matrix A ...
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Two masses connected by three springs. Like problem 10 on webwork Demonstration of animation of the Problem 3 on webwork, an example with complex eigenvalues. Solutions to systems of 2 first order linear homogeneous ODEs, written in vector notation. In other words, solutions to y-prime = A y ...

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