Department of Physics

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.