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The differential equations class i took as a youth was disappointing, because it seemed like little more than a bag of tricks that would work for a few equations, leaving the vast majority of interesting … I am trying to identify the stable, unstable, and semistable critical points for the following differential equation: $\\dfrac{dy}{dt} = 4y^2 (4 - y^2)$.
Does there exist any correspondence between difference equations and differential equations? In particular, can one cast some classes of odes into difference equations or vice versa? For questions about ordinary differential equations, which are differential equations involving ordinary derivatives of one or more dependent variables with respect to a single independent variable.
