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 |
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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 |
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