Journal of Applied Sciences and Environmental Management (Oct 2024)

Application of Two-Parameter Laplace-Type R-transform to Solve Linear Ordinary Differential Equations

  • E. E. Iyeme,
  • O. R. Okpo,
  • R. I. Ajaereh,
  • G. I. Ogban

Journal volume & issue
Vol. 28, no. 10

Abstract

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There are thirty one-parameter Laplace-type integral transforms, however, two-parameter Laplace-type integral transforms are few. Hence, the objective in the paper is to introduce and apply a new two-parameter Laplace-type integral transform, called the R-transform, to solve linear ordinary differential equations. Linear ordinary differential equations with constant coefficients were solved by taking the inverse R-transform. Also, two important theorems about the R-transform were proved. The theorems furnish us with the essential results for applications. Computations were manually done and confirmed with Mathematica software.

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