With the corresponding eigenvector is results in the

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Unformatted text preview: ires analysis of the 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 Setting results in the single equation . A corresponding eigenvector is It follows that and x x The Wronskian of this solution set is xx . These solutions are linearly independent for . Hence the general solution is x 23. Setting x results in the algebraic equations . For a nonzero solution, we must have A I . The roots of the characteristic equation are and . Setting , the system of equations reduces to . The corresponding eigenvector is ________________________________________________________________________ page 374 —————————————————————————— CHAPTER 7. —— With is , the system is equivalent to the equation It follows that x . An eigenvector and x The Wronskian of this solution set is xx . Thus the solutions are linearly independent for . Hence the general solution is x 24 . The general solution is x . . _______...
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