I'm just starting at scientific computing and I'm seeing that results can be generated merely by plotting the variables. Of course more variables lead to more axes/dimensions so e.g. a three variable system could be or would need to be modeled as a 3D plot.
What I was thinking though was e.g. a 2D case. Does visualization e.g. through some dummy variables (to add dimensions, i.e. to create a 3D visualization out of 2D variables) add anything to simple X-Y plots?
Or is visualization always linked to the dimensions?
Does visualization (e.g. an animation) add something more to the "generic plots"? Or is visualization often the same as the plot?
What about in the case of DEs, which may have multiple variables?