Mr. Integral
Math notes/Differential Equations/First-Order Methods

Separable Equations and Lost Equilibria — Cheat sheet

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Core rule

Integrate dy/h(y)=g(t)dtdy/h(y)=g(t)dt only after recording zeros of hh.

Watch for

Absolute values in logarithms allow either sign before initial data select a branch. Integration constants cannot repair a lost equilibrium after an invalid division at that equilibrium.