# Plotting functions that have constants and variables

Posted 5 months ago
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 The function I have to plot is (I wrote beta as k, check the image attached)*dy/dz = -kb/Pi * cot(Piy/b)tan(kz)**So first I set the y[z] as y[t] for ease, but actually I have to use constants b & k. DSolve[{y'[t] == (-1/Pi)*Cot[Pi*y[t]]*Tan[1/(2*t)]}, y[t], t] Then I set the plot as, Plot[y[t], {y,0,1}, {t,0,2*Pi}] But seems that it doesn't work.Below picture is the graph I have to plot. There are boundaries.Could I get any advice to make a plot for kz, y/b?Thanks!
 Your equation seems to be very - let's say - sensitive due to 1 / t and the poles of Tan and Cot. Furthermore on my system DSolve doesn't give an answer. So I tried it numerically: yF = y /. NDSolve[{y'[t] == (-1/Pi)*Cot[Pi*y[t]]*Tan[1/(2*t)], y[.2] == .01}, y, {t, .2, .3}][[1, 1]] Plot[yF[t], {t, .2, .6}]