Duffing equation,, has a standard well-known ex-act solution [1]. Approximate solutions to this equation also are available [2]. Reference [3] [4] introduces a sinusoidal time-dependent Power Series solution. Applying this method successfully we investigate the approximate solution of the modified Duffing equations,, for n = 4 and 5. Symbolic manipulative utilities of a Computer Algebra System (CAS) specifically Mathematica [5] extensively is used investigating the results.
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机译:应用项目反应理论对友谊质量量表修定—以结构方程模型、层面理论多种技术支持修定量表的质量 Modifying Friendship Quality Questionnaire with Item Response Theory Approach——Validating with Facet Theory and Structure Equation Techniques