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Comment by jason_adleberg

From Sentence 5 of Example 1.1:

"The symmetry is a smooth (differentiable to all orders) invertible transformation mapping solutions of the ODE to solutions of the ^ODE^. Invertible means the Jacobian is nonzero: x'x y'y - x'y y'x != 0"

Yeah, understood about 5% of that.

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