A Roadmap for Solving Second-Order ODE

• Mathematical Notation used in these pages
• Introduction to Second-Order Ordinary Differential Equations
• Examples
• Methods for Qualitative Analysis (phase plane analysis)
• Numerical Methods
• Analytic Methods for Second-Order ODE
  • Nonlinear ode of the form y''=f(t,y')
  • Nonlinear ode of the form y''=f(y,y')
  • Linear ode
    • Constant-coefficient homogeneous ode
    • Euler-Cauchy ode
    • Variation of parameters
    • Undetermined coefficients
    • Reduction of order for linear homogeneous ode

Copyright © 1996 Department of Mathematics, Oregon State University

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