as opposed to the solution set in prob given by 21

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Unformatted text preview: — 8. Solution of the ODEs is based on the analysis of the algebraic equations . The characteristic equation is , the two equations reduce to One solution is x , with a single root . Setting . The corresponding eigenvector is . A second linearly independent solution is obtained by solving the system . The equations reduce to the single equation , and a second linearly independent solution is Let . We obtain x Dropping the last term, the general solution is x Imposing the initial conditions, find that ________________________________________________________________________ page 418 —————————————————————————— CHAPTER 7. —— , so that and Therefore the solution of the IVP is x 10. The eigensystem is obtained from analysis of the equation . The characteristic equation is equations reduce to Hence one solution is , with a single root . Setting . The corresponding eigenvector is , the two ________________________________________________________________________ page 419 ————————...
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