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When I execute your first block and look at yt, I get
sage: yt
[y(t) == 1500*e^(3/100*t)/(e^(3/100*t) + 29)]
So yt is a list, and it is better to consider the first entry in that list. For reasons I don't understand, I can't plot that, either, but I can plot its right-hand side.
sage: yt_0 = yt[0]
sage: yt_0_rhs = yt_0.rhs()
sage: yt_0_rhs
1500*e^(3/100*t)/(e^(3/100*t) + 29)
sage: plot(yt_0_rhs, (t, 0, 300))
