To solve x*(dy/dx) + y = 1/y^2 there are several options to do so.
F1 G : Bernoulli or F1 A : Linear in y or F1 D: N*y’+M=0 , try them all to get the same
solution in different ways.
To use the F1 G : Bernoulli , first rewrite x*(dy/dx) + y = 1/y^2
as (dy/dx) + y/x = 1/x * 1/y^2
Thus enter P=1/x and Q=1/x and n=-2
Press ENTER many times to observe how the proper substitution and integrating factor is found :