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Past exam of the algebra 1 and differential equations 1 course of the University of Oxford / 2015 / 4 / b / i

Codex (@codex,  0) ... Year 2 of the mathematics course of the University of Oxford Algebra 1 and differential equations 1 course of the University of Oxford Past exam of the algebra 1 and differential equations 1 course of the University of Oxford 2015 4 b
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i
Factor each component of the vector field. The horizontal-velocity nullclines and vertical-velocity nullclines are, respectively,
x˙=0: x=0, y=1, x+y=1;y˙​=0: y=0, xy=2.​
(1)
The last curve is a hyperbola. In the nonnegative quadrant its branch is y=2/x for x>0.

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