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1 Lie symmetry method for solving first order ODE

1.1 Introduction
1.2 Terminology used and high level introduction
1.3 Additional notes
1.4 Outline of the steps in solving a differential equation using Lie symmetry method
1.5 Finding xi and eta knowing the first order ode type. Table lookup method.
1.6 The linearized symmetry condition
1.7 Moving to canonical coordinates \(X,Y\)
1.8 Definitions and various notes
1.9 Closer look at orbits and tangent vectors
1.10 Selection of ansatz to try
1.11 To shift \(\xi \) or not to shift
1.12 Examples
1.13 Alternative form for the similarity condition PDE

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