In Exercises
(a) write the second-order differential equation and the corresponding first-order system:
(b) find the eigenvalues and eigenvectors of the linear system;
(c) classify the oscillator (as underdamped, overdamped, critically damped, or undamped) and, when appropriate, give the natural period;
(d) sketch the phase portrait of the associated linear system and include the solution curve for the given initial condition; and
(e) sketch the
18.
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Differential Equations
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning