I am trying to plot the solutions of this equation.
eq[x_, k_, T_] := -Sin[3*k + x]/Sin[4*k + x] + P +
Cos[k] + T^2 + (A*T^2*Sin[k]^2)/(Sin[4*k + x]^2 +
B*T^2*Sin[k]^2) == 0 /. {A -> 1/2, B -> 0.0001,
P -> -2.38}
sol[T_?NumericQ, k_ /; 0 <= k <= Pi] :=
x /. NSolve[{eq[x, k, T], 0 <= x <= Pi}, x, Reals]
ListLinePlot[Table[sol[T, 0.2], {T, 0.1, 1.2, 0.1}]]
It has three solutions for each T
and k
, I want to plot for a specific k
which I defined in the above case to be $k=0.2$ inside sol[T, 0.2]
. It gives me a list of multi-solutions for various T
values {T, 0.1, 1.2, 0.1}
. I want T
to be one of the axis of the plot with these three solution curves, but it shows several curves, more than three. Should I use some other type of plot?