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MR977483 (89k:58312) 58H05 (22E05 34A34 58F35)
Hsu, L.; Kamran, N. Classification of second-order ordinary differential equations admitting Lie groups of fibre-preserving point symmetries. Proc. London Math. Soc. (3) 58 (1989), no. 2, 387–416.
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