"Galois, who was Lie's idol, indirectly inspired the application of continuous groups to differential equations. In a letter of 1874 to A. Mayer, Lie observes that "In the theory of algebraic equations before Galois only these questions were proposed: Is an equation solvable by radicals, and how is it to be solved? Since Galois, among other questions proposed is this: How is an equation to be solved by radicals in the simplest way possible? I believe the time is come to make a similar progress in differential equations.""
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Ref: , Gesammelte Abhandlungen, Leipzig (1924) Vol. 5, p. 583. Letter referring to the Galois Criterion on s of s.
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Évariste Galois
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