Linear ODE Forms

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The fixed point has many different stability types. A system rarely has an infinite number of solutions along a line in the , plane.

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The fixed point has many different stability types. Only two solutions for fixed points are possible in a linear first-order system: one with an equilibrium point at , or infinitely many solutions along a line in the , plane.

Red dots represent fixed points or equilibrium points.

Dashed blue lines indicate straight-line solutions.

Dashed black lines indicate nullclines.

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Contributed by: Alex S. Dunn (March 2011)
Open content licensed under CC BY-NC-SA


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Based on a program from the examples for VectorPlot under the applications subgroup.



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