Algorithmic Lie Theory for Solving Ordinary Differential Equations

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Focusing on Lie's theory, this book introduces methods for solving differential equations, exploring concepts like Loewy's theory and Janet bases. It delves into the symmetry analysis of quasilinear equations, categorizing them and transforming them into canonical forms for solution. The text also addresses equivalence problems and provides general solutions where feasible. Additionally, appendices feature selected exercise solutions and essential formulae, while a dedicated website offers software for complex algebraic calculations.