Determining a Particular Solution for Systems of Linear Differential Equations with Constant Coefficients that Have on the Column of Free Terms Functions Such As e a · x ·P(x) ·cos n x or e b · x ·Q(x)·sin n x

Autor: Ioan Virca, Vasile Căruţaşu
Rok vydání: 2020
Předmět:
Zdroj: International conference KNOWLEDGE-BASED ORGANIZATION. 26:55-64
ISSN: 2451-3113
1843-6722
DOI: 10.2478/kbo-2020-0115
Popis: The determination of a particular solution for the systems of linear differential equations with constant coefficients that have on the column of free terms functions such as e a · x ·P(x) ·cos n x or e b · x ·Q(x)·sin n x, or/and e b · x ·Q(x) sin n x, n ∈ N, is based on the expansion of cos n x and sin n x, and, on the other hand, on how a particular solution for a column of free terms with functions such as e a · x ·P(x) ·cos n x or e b · x ·Q(x)·sin n x, n ∈ N, looks like. We can also write the way a particular solution looks like when we have a combination of two or more functions on the form e a · x ·P(x) ·cos n x or e b · x ·Q(x)·sin n x, n ∈ N in the column of free terms.
Databáze: OpenAIRE