LINEARIZATION OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS BY USING A GENERALIZED LINEARIZING TRANSFORMATION
Keywords:
Linearization problem, Generalized linearizing transformation, Nonlinear second-order ordinary differential equationsAbstract
This research aimed to study the linearization problem of nonlinear second-order ordinary differential equations by using a generalized linearizing transformation to reduce the equation into the linear form . The study establishes the necessary and sufficient conditions for such a transformation, presents a procedure to determine the transformation functions and the coefficients of the linear equation, and provides examples of obtaining solutions to illustrate the proposed concepts.
References
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