Mathematica - 2D plot for function of 2 vars?

[dcnicholls]

I have a function of two variables, f(a,b). I want to create a series of 2D plots (on the same plot) of f(a,b) vs a, for a=1 to 10, for a set of discrete values of b (e.g. b=10,20,50,100).

Is there a simple way to do this? Plot3D works, but I cannot find how to do it in 2D.

DN

 

[dcnicholls]

Solved: Define a second function f1(b) with the same formula as f(a,b), and use:

Plot[{f1[10],f1[20],f[50],f[100]},{a,1,10}]

Does the job.

DN

 

[Hepth]

Also if you want to automoate it more you can make it a table:

Plot[Table[f1,{i,1,100,5}],{a,1,10}]

Makes a table of f1 as i goes from 1 to 100 by 5. Easier if you want a lot of them.

 

[dcnicholls]

Thanks, useful improvement.

 

[alphy]

:

Yes, there is a simple way to create a series of 2D plots for a function of two variables in Mathematica. You can use the Plot function and specify the variable you want to vary (in this case, a) as the first argument, and then use the Table function to generate a list of plots for different values of the second variable (b). For example:

Plot[Evaluate[Table[f[a, b], {b, {10, 20, 50, 100}}]], {a, 1, 10}]

This will create a plot of f(a,b) vs a for each value of b specified in the Table function. You can also add options such as PlotStyle to customize the appearance of the plots. I hope this helps!