I've attached the question below.
(b) Phase portraits and fingerprint identification: Identify all the possible phase portraits of the system below and their corresponding range of values for parameter A and a given fixed constant \(\displaystyle \, \alpha\, >\, 0.\)
. . . . .\(\displaystyle \dfrac{dx}{dt}\, =\, x\, -\, (A\, -\, \alpha)\, y,\). . . . .\(\displaystyle \dfrac{dy}{dt}\, =\, (A\, +\, \alpha)\, x\, +\, y\)
Unsure what the question is asking here and how to begin. Any help would be great. Thanks
(b) Phase portraits and fingerprint identification: Identify all the possible phase portraits of the system below and their corresponding range of values for parameter A and a given fixed constant \(\displaystyle \, \alpha\, >\, 0.\)
. . . . .\(\displaystyle \dfrac{dx}{dt}\, =\, x\, -\, (A\, -\, \alpha)\, y,\). . . . .\(\displaystyle \dfrac{dy}{dt}\, =\, (A\, +\, \alpha)\, x\, +\, y\)
Unsure what the question is asking here and how to begin. Any help would be great. Thanks
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