i have a non linear equation that depends on three variables e, theta and z.

i have done calculations to calculate e while varying theta and z. theta varied among the vector [0, Pi/4, Pi/3, Pi/2] and z was varying between 1 and 20

when plotting my data it gives the following plot where z is represented on the x-axis and each curve correspond to one theta

i am currently able of fitting one plot to one equation i would like to fit the data points using the nonlinearfit function and to only get one equation for all the plots. is that possible in maple or not

i am modeling a simple standing wave. i have created three plots y1, y2 and y and then i am using animate to move them. the problem is that i cant add a legend describing every plot and i am not getting how to do this.

in addition when i click on the plot and then go to the legend menu, both show legend and edit legend are disabled.

here is my code

with(plots): y1:=0.01*sin(Pi/2*x-40*Pi*t);

                 y1 := -0.01 sin(-1/2 Pi x + 40 Pi t)