(a) Write out the second order equation in terms of the coefficients a, b, c, d of...

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(a) Write out the second order equation in terms of the coefficients a, b, c, d of the first order system.
(b) Show that there is a one-to-one correspondence between solutions of the system and solutions of the scalar differential equation.
(c) Use this method to solve the following linear systems, and sketch the resulting phase portraits.
(i)
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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