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# Hence the solution of the ivp is x 18 the eigensystem

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Unformatted text preview: n by are distinct, the general solution is Since the eigenvalues x 12. The eigensystem is obtained from analysis of the equation . The characteristic equation of the coefficient matrix is roots , and . Setting , with , we have ________________________________________________________________________ page 369 —————————————————————————— CHAPTER 7. —— . This system is reduced to the equations A corresponding solution vector is given by system of equations is reduced to the single equation Setting , the Two independent solutions are obtained as 2 and Hence the general solution is x 13. Setting x results in the algebraic equations . For a nonzero solution, we must have of the characteristic equation are have A , I . The roots . Setting , we and . This system is reduces to the equations A corresponding solution vector is given by the reduced system of equations is Setting , ________________________________________________________________________ page 370 ——...
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