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X therefore the fundamental matrix is 5 the general

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Unformatted text preview: ng eigenvector is One complex-valued solution is x We can write Hence x Therefore the general solution is x Other combinations are also possible. 24 . The characteristic equation of the system is , with eigenvalues , and reveal that a corresponding eigenvector is we obtain the system of equations . For , simple calculations Setting , A corresponding eigenvector is Hence one solution is x Another solution, which is complex-valued, is given by ________________________________________________________________________ page 396 —————————————————————————— CHAPTER 7. —— x Using the real and imaginary parts of x , the general solution is constructed as x . Let x . The solution can be written as x With x , the solution of the initial value problem is x ________________________________________________________________________ page 397 —————————————————————————— CHAPTER 7. —— 25 . Based on Probs. With of Secti...
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