
In Exercises
(a) compute the eigenvalues;
(b) for each eigenvalue, compute the associated eigenvectors;
(c) using HPGSystemSolver, sketch the direction field for the system, and plot the straight-line solutions;
(d) for each eigenvalue, specify a corresponding straight-line solution and plot its
(e) if the system has two distinct eigenvalues, compute the general solution.
3.

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Chapter 3 Solutions
Differential Equations
- Explain the key points and reasons for the establishment of 12.3.2(integral Test)arrow_forwardUse 12.4.2 to determine whether the infinite series on the right side of equation 12.6.5, 12.6.6 and 12.6.7 converges for every real number x.arrow_forwarduse Cauchy Mean-Value Theorem to derive Corollary 12.6.2, and then derive 12.6.3arrow_forward
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