Differential Galois Theory
نویسندگان
چکیده
The aim of the talk is to explain how to make these statements precise and prove them, using differential Galois theory. The reference to all of the material here is [vdPS03]. By solving a differential equation we mean obtaining a solution via a finite number of operations of the following kind (starting with a rational function): • Adding a function algebraic over the functions we already have. • Adding the exponential of (the integral of) a function we have. • For the second problem, adding the integral of a function we have (alternatively, allowing logarithms)
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