# The eigensystem is obtained from analysis of the

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Unformatted text preview: ————————————— CHAPTER 7. —— The system has an unstable eigendirection along solutions will diverge. Unless , all 4. Solution of the ODE requires analysis of the algebraic equations . For a nonzero solution, we must have A I . The roots of the characteristic equation are and . For , the system of equations reduces to . The corresponding eigenvector is Substitution of results in the single equation . A corresponding eigenvector is Since the eigenvalues are distinct, the general solution is x The system has an unstable eigendirection along solutions will diverge. 8. Setting x Unless , all results in the algebraic equations ________________________________________________________________________ page 367 —————————————————————————— CHAPTER 7. —— . For a nonzero solution, we must have A I . The roots of the characteristic equation are and . With , the system of equations reduces to . The corresponding eigenvector is For the case , the system is equivalent to the equation . An eigenvector is Since the eigenvalues are...
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## This note was uploaded on 03/11/2014 for the course MA 303 taught by Professor Staff during the Spring '08 term at Purdue University-West Lafayette.

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