PDE Plot Mathematica(Multivalue)

[Winzer]

I am trying to plot:
u(x,y)=sin(x-t u(x,y))
An implicit solution to a PDE.
I have no clue how to do this; I've plotted an equation like this before.

 

[Winzer]

Nothing?
I don't suppose parameterizing would help, I would still have the u(x,y) term i think.

 

[oswaler]

I can suggest the following steps to plot the given PDE in Mathematica:

1. First, define the function u(x,y) using the "Function" command in Mathematica. The syntax would be u[x_,y_]:=Sin[x-t u[x,y]].

2. Next, use the "ContourPlot" command in Mathematica to plot the function u(x,y). The syntax would be ContourPlot[u[x,y],{x,xmin,xmax},{y,ymin,ymax}] where xmin, xmax, ymin, and ymax are the desired ranges for the x and y variables.

3. Since the given PDE is an implicit solution, you can also use the "ImplicitPlot" command in Mathematica. The syntax would be ImplicitPlot[u[x,y]==Sin[x-t u[x,y]],{x,xmin,xmax},{y,ymin,ymax}].

4. You can also use the "Plot3D" command in Mathematica to plot the function u(x,y) as a 3D surface. The syntax would be Plot3D[u[x,y],{x,xmin,xmax},{y,ymin,ymax}].

5. Additionally, you can use the "Manipulate" command in Mathematica to create an interactive plot where you can vary the parameters of the PDE and see how the solution changes.

I hope these suggestions help you plot the given PDE in Mathematica. Good luck!