Advance Mathematics - UADPHILECON



Advance Mathematics B – ΜΠΣ-ΟΙΚΟΝΟΜΙΚΗΣ ΕΠΙΣΤΗΜΗΣ

Stelios Kotsios

B ΠΡΟΟΔΟΣ 2020

TMHMA B – ΠΕΡΙΤΤΟ ΑΜ

10/06/2020

|ΑΜ: | |

|ΕΠΩΝΥΜΟ: | |

|ΟΝΟΜΑ: | |

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|ΒΑΘΜΟΣ: | |

Exercise 1: Draw the phase diagram of the equation: [pic].

Answer:

Exercise 2 : Draw the phase diagram of the system: [pic]. (use the “differential equation” method, too)

Answer:

Exercise 3: By using the Poincare-Bendixson theorem, show that the system:

[pic]

has a periodic orbit.

Answer:

Exercise 4: Draw the phase diagram of the system: [pic]

Answer:

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