Differential Equations

Course Description

A study of ordinary differential equations with emphasis on linear equations and systems of linear equations. An analysis of the existence and uniqueness of solutions of ordinary differential equations with initial conditions, so called Cauchy problem. Examines linear differential equations of first, second and higher orders, and linear systems of ordinary differential equations. Stresses application to engineering problems.

Learning Outcomes

  • Demonstrate knowledge in ordinary differential equations with emphasis on linear equations and systems of linear equations.
  • Demonstrate knowledge in the analysis of the existence and uniqueness of solutions of ordinary differential equations with initial conditions, so called Cauchy problem.
  • Demonstrate knowledge in linear differential equations of first, second and higher orders.
  • Demonstrate knowledge in linear systems of ordinary differential equations.
  • Demonstrate knowledge in infinite series.
  • Demonstrate knowledge in Laplace transform.
  • Demonstrate knowledge in matrix methods of solution.

Prerequisites

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