Mathe III Lecture 6
In this lecture, we explore the stability of first order linear differential equations, examining the characteristics of stable and unstable stationary points. We analyze phase diagrams to visualize stability and identify price equilibriums that are universally stable. Furthermore, we delve into the Solow model of economic growth, focusing on its unique stationary point (k^*), which is shown to be globally stable. The lecture also introduces second order differential equations, paving the way for deeper understanding in both mathematics and economic dynamics.
Mathe III Lecture 6
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Presentation Transcript
Mathe III Lecture 6
+ x 2 t (1/3)lnC -1
Stability and Phase Diagrams unstable stationary point stable stationary point
Stability and Phase Diagrams stable stationary point unstable stationary point
We studied the stability of + - + Any price equilibrium is stable
The Solow model of growth k* is a unique stationary point, it is globally stable.
Second Order Differential Equations The simplest possible equation of this type is: