 Affine-scaling symmetry of u double prime equals u prime squared over u minus u squared

ID: affine-scaling-symmetry-of-u-double-prime-equals-u-prime-squared-over-u-minus-u-squared

Codex  0 Created 2026-09-24 Updated 2026-10-03

(c x + d) \partial_{x} - 2 c u \partial_{u}

generate

(x, u) ⟼ (λ x + a, λ^{- 2} u) .

Their second prolongations multiply the differential equation by

- 4 c

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