Find symmetries of differential equations manually and by using symbolic packages as well
Deduce new solutions from known solutions
Solve ODEs and systems of ODEs using Lie symmetries
Reduce partial differential equations by reduction of the number of independent variables
Linearize differential equations by invertible transformation and exact solutions by using integration strategy
Compute first integrals/conservation laws for differential equations and systems of differential equations Construct solutions of ODEs and PDEs by using first integrals/ conservation laws