Euler-Cauchy undetermined coefficients
Contributing USMA Research Unit(s)
Exceptions to the requirements that the nonhomogeneous terms have a finite set of derivatives, and that the coefficients be constant when utilizing the Method of Undetermined Coefficients, are presented. A simple method of solution is developed for Euler-Cauchy Differential Equations with nonhomogeneous terms that are exclusively powers of the independent variable. The pairing of the power of the variable coefficient with the order of the derivative in the homogeneous terms of the differential equation is shown to isolate each term of the solution.
Fischer, George L.
"Euler-Cauchy Undetermined Coefficients Exception,"
Mathematica Militaris: Vol. 25:
1, Article 3.
Available at: https://digitalcommons.usmalibrary.org/mathematica_militaris/vol25/iss1/3
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Euler Cauchy Undetermined Coefficients Exception 15Apr22 no abstract.docx (45 kB)
no abstract on this final version