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Nullcline and getting "2" values for y


I have this equation I can plot using the following

ClearAll["Global`*"]


fun = (b c y - a y^ n + y^(1 + n))/(b + y^n);
d = 0.1;
c = 1;
b = 10;
a = 11;
n = 5;
ParametricPlot[{fun, (y)}, {y, 0, 1}, PlotRange -> All]

I am plotting the function "fun" against values of y.

When I do that I get a curvew that clearly shows that, for a given
value of y, I should get two value for the function.

How do I get what they are?

If I just go..

d = 0.1;
c = 1;
b = 10;
a = 11;
n = 2;
y = 0.5;

(b c y - a y^ n + y^(1 + n))/(b + y^n)

I get

0.231707

but starting at y=0 all the way to y= 0.6 or so, there are two values!
(according to the graph)

How do I get what those values are?


Thanks for any input.

sean



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