Bibliographic Details
| Title: |
The Reduction-to-First-Order Method and the Solution of Linear Constant-Coefficient Ordinary Differential Equations of Any Order. |
| Authors: |
Salim, Daniel1 daniel.salim@unpar.ac.id, Hoseana, Jonathan1 j.hoseana@unpar.ac.id |
| Source: |
Engineering Letters. Dec2025, Vol. 33 Issue 12, p4777-4786. 10p. |
| Subjects: |
Ordinary differential equations, Initial value problems, Differential equations, Signal convolution |
| Abstract: |
The article focuses on the reduction-to-first-order method for solving linear constant-coefficient ordinary differential equations (ODEs) of any order. It presents explicit formulas for the general solution and the corresponding initial value problem, addressing both homogeneous and non-homogeneous cases without requiring separate treatments for equal characteristic roots. The authors introduce key concepts such as convolution and an indefinite variant to streamline the solution process. The paper aims to provide a rigorous theoretical foundation for this method, which has been previously underexplored in the literature. [Extracted from the article] |
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| Database: |
Engineering Source |
