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Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing Transformation

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  • E. Thailert
  • S. Suksern

Abstract

We discuss the linearization problem of third-order ordinary differential equation under the generalized linearizing transformation. We identify the form of the linearizable equations and the conditions which allow the third-order ordinary differential equation to be transformed into the simplest linear equation. We also illustrate how to construct the generalized linearizing transformation. Some examples of linearizable equation are provided to demonstrate our procedure.

Suggested Citation

  • E. Thailert & S. Suksern, 2014. "Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing Transformation," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-12, August.
    • Handle: RePEc:hin:jnljam:486717
    DOI: 10.1155/2014/486717
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