HELP: not inverting OpAmp with variable gain
 

I'm looking for a smart solution to obtain a different gain for a not
inverting OpAmp The goal is have the same gain at the beginning and at the
end of the ramp source 0-5V DC signaland a different gain in the middle of
the ramp.

As example (where Vi= DC ramp signal, A=OpAmp gain)

Vi=1 A=2, Vi=2 A=1,5 Vi=3 A=1 Vi=4 A=1,5 Vi=5 A=2

In the attached img in red the source ramp, Vu1 and Vu2 the possible results
wanted

Thanks for any help