Plotting the Solution of a Parametric Differential Equation

Questions
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1

I have a parametric differential equation:

sol = ParametricNDSolve[{a.p[t]/(1 -b.p[t]) == c.p’[t], p’[0] == 0},p,{t, 0, 10}, {a,b,c}]

I’d like to plot solutions with different values of parameter a:

Plot[Evaluate[Table[sol[a, 1, 2][t], {a, 0, 1, 0.1}]], {t, 0, 100}]

But this (even with other values for the parameter and different ranges for t) just gives me two axes and nothing else!
Is there another way to plot this?

Thanks

2

If you impose p’[0]==0 it seems that you get the constant zero solution for any value of the parameters.
The dot in a.p[t] means multiplication? Beware that in Mathematica the dot has a different meaning. For multiplication you need *