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Department of Physics

ΥΚΟ14

10ΥΚΟ14 Ordinary Differential Equations

Course webpage:  https://eclass.uoa.gr/courses/PHYS339

Course outline

Course content

  • Autonomous scalar differential equations of first order: Well-posed initial value problems.
  • Autonomous scalar differential equations of first order: Equilibrium points, stability, introduction to bifurcations. 
  • First-order linear differential equations in one and two dimensions, with constant and variable coefficients.
  • Second-order linear differential equations, homogeneous and inhomogeneous.
  • Power series solution of second-order linear differential equations.
  • Qualitative theory of differential equations in the plane. Local techniques and introduction to global techniques.