Determining a Particular Solution for N-th Order Linear Differential Equations with Constant Coefficients that Have the Free Term in the Following Form e a · x ·P(x) ·cos n x or e b · x ·Q(x)·sin n x
| Autor: | Alexandru Hampu, Vasile Căruţaşu |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | International conference KNOWLEDGE-BASED ORGANIZATION. 26:49-54 |
| ISSN: | 2451-3113 1843-6722 |
| DOI: | 10.2478/kbo-2020-0114 |
| Popis: | A particular solution for the n-th order linear differential equations with constant coefficients that are free of term such as P(x)· e a · x ·cos n x or/and Q(x)·e b · x · sin n x, n∈ N, can be determined based on two elements: the way in which cos n x and sin n x can develop, and, on the other hand on the way a particular solution for the free terms P(x) ·e a · x ·cos n x or/and Q(x)·e b · x ·sin m x, n ∈N is sought. We can, of course, write the way a particular solution looks also in the case we have a combination of the two terms or more terms of this kind. |
| Databáze: | OpenAIRE |
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