Ordinary differential equations, including linear equations, systems of equations, equations with variable coefficients, existence and uniqueness of solutions, series solutions, singular points, transform methods, boundary value problems; application of differential equations to real-world problems.

Upon completion, students will be able to:

  • Identify homogeneous equations, homogeneous equations with constant coefficients, and exact and linear differential equations.
  • Solve ordinary differential equations and systems of equations using: a) Direct integration b) Separation of variables c) Reduction of order d) Methods of undetermined coefficients and variation of parameters e) Series solutions f) Operator methods for finding particular solutions g) Laplace transform methods
  • Determine particular solutions to differential equations with given boundary conditions or initial conditions.
  • Analyze real-world problems in fields such as Biology, Chemistry, Economics, Engineering, and Physics, including problems related to population dynamics, mixtures, growth and decay, heating and cooling, electronic circuits, and Newtonian mechanics.

Grade Basis: L
Credit Hours: 3
Lecture hours: 64.0