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Questions › JNU › JNU SIS 2021 › Q78
0 marksMathematics › Difference and differential equations › Stability and phase diagramsModerateabout 2 min

JNU SIS 2021 Question 78: Difference and differential equations

Consider the following system of 2 differential equations: x˙=2x−3xy\dot{x} = 2x - 3xyx˙=2x−3xy y˙=xy2+y\dot{y} = xy^2 + yy˙​=xy2+y Then,

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Consider the following system of 2 differential equations: ẋ = 2x - 3xy ẏ = xy² + y Then, (A) The only possible steady state is (x=0, y=0). (B) The two possible steady states are (x=0, y=0) and (x=2/3, y= -2/3). (C) The two possible steady states are (x=0, y=0) and (x= -3/2, y = 2/3) (D) The only possible steady state is (x= 3/2, y = 3/2).

Also written as: Consider the following system of 2 differential equations: x_dot = 2x - 3xy y_dot = xy^2 + y Then,

Difference and differential equations has come up 20 times in 5 exams since 2014.

What this question tests

This question is on Stability and phase diagrams, part of Difference and differential equations in Mathematics.

Whether solutions settle to an equilibrium and how to read the phase line.

TestStop has 8 past-paper questions on this subtopic.

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