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Second-Order Differential Equations

In: A First Course in Ordinary Differential Equations

Author

Listed:
  • Martin Hermann

    (Friedrich Schiller University, Institute of Applied Mathematics)

  • Masoud Saravi

    (Islamic Azad University Nour Branch, Department of Mathematics)

Abstract

Chapter 3 is devoted to analytical methods for the solution of scalar second-order differential equations. Subsequent to the introduction of higher-order equations, solution methods for homogeneous differential equations are presented. This includes, among others, the method of order reduction, solution techniques for exact and pseudo-exact equations, and methods for equations with constant coefficients. Then, solution methods for inhomogeneous equations are presented. Special attention is paid to the method of undetermined coefficients, the method of variation of parameters, and the method of operators.

Suggested Citation

  • Martin Hermann & Masoud Saravi, 2014. "Second-Order Differential Equations," Springer Books, in: A First Course in Ordinary Differential Equations, edition 127, chapter 0, pages 45-92, Springer.
    • Handle: RePEc:spr:sprchp:978-81-322-1835-7_3
    DOI: 10.1007/978-81-322-1835-7_3
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