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1.Elementary Invariant Theory: Algebraic Equations and ODEs 2.First-Order Partial Differential Equations 3.Solution Methods for Functional Equations 4.Elementary Invariant Theory: Partial Differential Equations 5.Methods of Generalized Separation of Variables 6.Methods of Functional Separation of Variables 7.DirectMethod of Symmetry Reductions. Weak Symmetries 8.Classical Method of Symmetry Reductions 9.Differential Constraints Method 10.Transformations of Equations of Mathematical Physics 11.Using Simple Solutions to Construct Complex Solutions 12.Constructing Solutions of Complex Equations |