Table 3.

All the possible Jacobi last multipliers admitted by (3.1), obtained using (2.22).

JLMV3V4V1V5V6V2V7V8
V30Embedded ImageEmbedded ImageEmbedded ImageEmbedded ImageEmbedded ImageEmbedded ImageEmbedded Image
V4Embedded Image0Embedded ImageEmbedded ImageEmbedded Image0Embedded Image0
V1Embedded ImageEmbedded Image000Embedded ImageEmbedded ImageEmbedded Image
V5Embedded ImageEmbedded Image000Embedded ImageEmbedded ImageEmbedded Image
V6Embedded ImageEmbedded Image000Embedded ImageEmbedded ImageEmbedded Image
V2Embedded Image0Embedded ImageEmbedded ImageEmbedded Image0Embedded Image0
V7Embedded ImageEmbedded ImageEmbedded ImageEmbedded ImageEmbedded ImageEmbedded Image0Embedded Image
V8Embedded Image0Embedded ImageEmbedded ImageEmbedded Image0Embedded Image0