Differential Equations

Course #MA2121

Est.imated Completion Time: 3 months

Overview

Ordinary differential equations: linear and nonlinear (first order) equations, homogeneous and non-homogeneous equations, linear independence of solutions, power series solutions, systems of differential equations, Laplace transforms. Applications include radioactive decay, elementary mechanics, mechanical and electrical oscillators, forced oscillations and resonance.

Prerequisites

  • MA1114

Learning Outcomes

  • Classify a differential equation in terms of ordinary/partial, order, linearity.
  • Verify a solution by substitution into the equation.
  • Explain the difference between the general solution to a differential equation and the unique solution to an initial value problem (IVP).
  • Determine whether a first- or second-order linear IVP has a unique solution over a given interval.
  • Apply initial conditions to a general solution to find the unique solution.
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