Question: Plot: how to draw a lot of graphs on xy-plane (all of them for different intervals)

I want to draw the behavior of diff equation on xy-plane, where y=x'(t)

I get many xi(t), yi(t) on different consequtive intervals. I want to draw all graphs on one picture. (But I believe there is a decision that does not use the fact that the intervals are consequtive.)

Something like

"for i from 0 to 100 do

plot(xi(t), yi(t), t=i..i+1)

end do"

How can I draw multiple graphs on different intervals on one xy-plane?

Thanks!

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