Setting the system of equations reduces to the

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Unformatted text preview: —————————————————————— CHAPTER 7. —— . This system is reduces to the equations A corresponding solution vector is given by reduced system of equations is Setting , the A corresponding solution vector is given by , the reduced system of equations is Finally, upon setting A corresponding solution vector is given by are distinct, the general solution is Since the eigenvalues x Invoking the initial conditions, the coefficients must satisfy the equations It follows that , and . Hence the solution of the IVP is x 18. The eigensystem is obtained from analysis of the equation . The characteristic equation of the coefficient matrix is roots , and . Setting , with , we have ________________________________________________________________________ page 372 —————————————————————————— CHAPTER 7. —— . This system is reduced to the equations A corresponding solution vector is given by system reduces to the equations Setting , the The corresponding eigenvector is 2 the syste...
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