Description/Abstract/Artist Statement
In this presentation, I outline the development of a fully-generalized solution of linear, non-homogeneous differential equations with constant coefficients and whose non-homogeneous function is any product of sinusoidal, exponential, and polynomial functions. This particular method does not require the reader to work with annihilator operators or additional related ODEs, and only requires an understanding of summation notation, matrix multiplication, and calculus. Additionally, this method provides a straightforward way to develop a program to implement the technique, and potentially reduces the time-complexity for solutions with comparisons to other methods.
Faculty Advisor/Mentor
Hideaki Kaneko
College Affiliation
College of Sciences
Presentation Type
Oral Presentation
Disciplines
Ordinary Differential Equations and Applied Dynamics
Session Title
Interdisciplinary Research #2
Location
Zoom Room Q
Start Date
3-20-2021 11:00 AM
End Date
3-20-2021 11:55 AM
Upload File
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Undetermined Coefficients: A Fully Generalized Approach
Zoom Room Q
In this presentation, I outline the development of a fully-generalized solution of linear, non-homogeneous differential equations with constant coefficients and whose non-homogeneous function is any product of sinusoidal, exponential, and polynomial functions. This particular method does not require the reader to work with annihilator operators or additional related ODEs, and only requires an understanding of summation notation, matrix multiplication, and calculus. Additionally, this method provides a straightforward way to develop a program to implement the technique, and potentially reduces the time-complexity for solutions with comparisons to other methods.