Linear ODE Forms
Linear ODE Forms
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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x(t)
y(t)
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.
(0,0)
(0,0)
x(t)
y(t)
Red dots represent fixed points or equilibrium points.
Dashed blue lines indicate straight-line solutions.
Dashed black lines indicate nullclines.