for a nonzero solution we must have a i the

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Unformatted text preview: ———————————————————————— CHAPTER 7. —— A corresponding solution vector is given by , the reduced system of equations is Finally, setting A corresponding solution vector is given by eigenvalues are distinct, the general solution is Since the x 15. Setting x results in the algebraic equations . 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 distinct, the general solution is x Invoking the initial conditions, we obtain the system of equations Hence and , and the solution of the IVP is x 17. Setting x results in the algebraic equations . For a nonzero solution, we must have roots of the characteristic equation are we have A I , and . Setting . The , ________________________________________________________________________ page 371 ———...
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