You need to specify a width for the column which contains the equations.
This will use "m" type for the row which will work.
You can find a sample .lyx file attached which worked for me in Lyx 2.3 (Ubuntu 
20.04)

** Attachment added: "Working eqnarray within tabular"
   
https://bugs.launchpad.net/ubuntu/+source/lyx/+bug/151110/+attachment/5436391/+files/okTabular.lyx

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https://bugs.launchpad.net/bugs/151110

Title:
  any multiline equation inside a table in Lyx 1.50 breaks

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