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Find every fixed point of the flow, then classify it by its Jacobian eigenvalues.
Solved 0/7
Level 1 · Stable Sink
x' = -x, y' = -y
A simple linear sink. Everything flows inward to one point.
Fixed points to find: 1 · placed 0⏱ 45s
Classify each marker
Click the field to drop a marker on a suspected equilibrium, then drag to fine-tune.
Classification (Jacobian J):
trace T, det D, disc = T²−4D.
D < 0 → saddle. D > 0 & disc ≥ 0 → node (stable if T<0). D > 0 & disc < 0 → spiral (stable if T<0); T≈0 → center.