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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
. 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
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- Spring '08