Titlebook: Loewy Decomposition of Linear Differential Equations; Fritz Schwarz Book 2012 Springer-Verlag Wien 2012 Computer Algebra Software.Differen

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Loewy Decomposition of Linear Differential Equations978-3-7091-1286-1Series ISSN 0943-853X Series E-ISSN 2197-8409

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Decomposition of Third-Order Operators,leading derivative. If invariance under permutations is taken into account, three cases with leading derivative ., . or . are distinguished. The corresponding ideals are of differential dimension (1, 3).

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Summary and Conclusions, and solving the corresponding differential equation in closed form is essentially the same subject. In this way, most results known from the classical literature on solving linear pde’s may be obtained in a systematic way, without heuristics or ad hoc methods.

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https://doi.org/10.1007/978-3-7091-1286-1Computer Algebra Software; Differential Algebra; Partial Differential Equations

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Solving Second-Order Equations,types considered in this chapter the following properties of a fundamental system are characteristic. .It will turn out that the detailed structure of the solutions is essentially determined by the decomposition type of the equation.

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