8.4. Exercis Exercise 8.4.1: Show that the following systems have no closed trajectories. a) x' = x° + y, y' = y3 + x?, c) x' = x +3y2 – y³, y' = y³ + x?. b) x' = e*-y, y' = e*+y,

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8.4.1 Exercises
Exercise 8.4.1: Show that the following systems have no closed trajectories.
a) x' = x³ + y, y' = y3 + x²,
b) x' = e*=y, y' = e*+y,
c) x' = x +3y² – y³, y' = y3 + x².
Transcribed Image Text:8.4.1 Exercises Exercise 8.4.1: Show that the following systems have no closed trajectories. a) x' = x³ + y, y' = y3 + x², b) x' = e*=y, y' = e*+y, c) x' = x +3y² – y³, y' = y3 + x².
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