Math 224-01: Differential Equations: Reading Homework 7.6
- Undriven Linear Systems: Complex Eigenvalues : how does our solution to a system change when eigenvalues are complex? what would we generally rather have?
- Complex Vectors : what is Euler's formula for complex exponentials e^{(a + ib)t}? how can we write vectors with complex entries?
- Finding Real-Valued Solutions : what do we first find when we are looking for all the real-valued solutions to a system x' = Ax? what fact about the complex valued solutions do we use?
- Point : what are the steps that we follow to find real-valued solutions to a system x' = Ax?
- Point : how, in example 7.6.1, is the transition between the solutions in equation (6) to the real-valued solutions in (7) made?
- Another Approach : what is the existence and uniqueness theorem for linear systems? what does it add to the fundamental theorem?
- Point : what is a basic solution set? how can we test for it?
Math 224-01: Differential Equations: Reading Homework 7.6
Last Modified: Mon Apr 17 10:36:40 2000
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