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Visualizing the difference curve in a 2D plot?


Copying each object in a plot separately as an imageregion plot in a 2-simplexWhy is Chop ignored in Plot?How can I plot a 3-variables function to identify the neutral surface and a regionPlot a curve on a latticeHelp plot with horizontal fillingHow to improve this plot?Plot data with different confidence intervalsGetting the coordinates of a specific point out of a plotDifferent shades of the same colour in one plot













2












$begingroup$


I have two functions $f(x,y)$ and $g(x,y)$. I wish to perform two tasks on a 2-dimensional figure:



  1. Plot the curve where each point satisfies $f(x,y)=g(x,y)$.


  2. Mark one side of the curve with red.


I tried to use Plot3D like the following



myfunc[x_, y_]:= If[f[x, y] < g(x, y), 1,0];
Plot3D[myfunc[x, y], x, 0, 10, y, 0, 3]


It gives what I expected, but how can I do this in a 2D plot?










share|improve this question











$endgroup$
















    2












    $begingroup$


    I have two functions $f(x,y)$ and $g(x,y)$. I wish to perform two tasks on a 2-dimensional figure:



    1. Plot the curve where each point satisfies $f(x,y)=g(x,y)$.


    2. Mark one side of the curve with red.


    I tried to use Plot3D like the following



    myfunc[x_, y_]:= If[f[x, y] < g(x, y), 1,0];
    Plot3D[myfunc[x, y], x, 0, 10, y, 0, 3]


    It gives what I expected, but how can I do this in a 2D plot?










    share|improve this question











    $endgroup$














      2












      2








      2





      $begingroup$


      I have two functions $f(x,y)$ and $g(x,y)$. I wish to perform two tasks on a 2-dimensional figure:



      1. Plot the curve where each point satisfies $f(x,y)=g(x,y)$.


      2. Mark one side of the curve with red.


      I tried to use Plot3D like the following



      myfunc[x_, y_]:= If[f[x, y] < g(x, y), 1,0];
      Plot3D[myfunc[x, y], x, 0, 10, y, 0, 3]


      It gives what I expected, but how can I do this in a 2D plot?










      share|improve this question











      $endgroup$




      I have two functions $f(x,y)$ and $g(x,y)$. I wish to perform two tasks on a 2-dimensional figure:



      1. Plot the curve where each point satisfies $f(x,y)=g(x,y)$.


      2. Mark one side of the curve with red.


      I tried to use Plot3D like the following



      myfunc[x_, y_]:= If[f[x, y] < g(x, y), 1,0];
      Plot3D[myfunc[x, y], x, 0, 10, y, 0, 3]


      It gives what I expected, but how can I do this in a 2D plot?







      plotting






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 13 mins ago









      m_goldberg

      87.7k872198




      87.7k872198










      asked 6 hours ago









      David Xiaoyu XuDavid Xiaoyu Xu

      244




      244




















          2 Answers
          2






          active

          oldest

          votes


















          3












          $begingroup$

          RegionPlot[f[x, y] <= g[x, y], x, 0, 10, y, 0, 3]





          share|improve this answer









          $endgroup$












          • $begingroup$
            thanks! I didn't know this before.
            $endgroup$
            – David Xiaoyu Xu
            5 hours ago


















          1












          $begingroup$

          ContourPlot[f[x, y] - g[x, y], x, 0, 10, y, 0, 3, 
          Contours -> 0, ContourShading -> None, Red]





          share|improve this answer









          $endgroup$












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            2 Answers
            2






            active

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            2 Answers
            2






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            3












            $begingroup$

            RegionPlot[f[x, y] <= g[x, y], x, 0, 10, y, 0, 3]





            share|improve this answer









            $endgroup$












            • $begingroup$
              thanks! I didn't know this before.
              $endgroup$
              – David Xiaoyu Xu
              5 hours ago















            3












            $begingroup$

            RegionPlot[f[x, y] <= g[x, y], x, 0, 10, y, 0, 3]





            share|improve this answer









            $endgroup$












            • $begingroup$
              thanks! I didn't know this before.
              $endgroup$
              – David Xiaoyu Xu
              5 hours ago













            3












            3








            3





            $begingroup$

            RegionPlot[f[x, y] <= g[x, y], x, 0, 10, y, 0, 3]





            share|improve this answer









            $endgroup$



            RegionPlot[f[x, y] <= g[x, y], x, 0, 10, y, 0, 3]






            share|improve this answer












            share|improve this answer



            share|improve this answer










            answered 6 hours ago









            Henrik SchumacherHenrik Schumacher

            57.3k577157




            57.3k577157











            • $begingroup$
              thanks! I didn't know this before.
              $endgroup$
              – David Xiaoyu Xu
              5 hours ago
















            • $begingroup$
              thanks! I didn't know this before.
              $endgroup$
              – David Xiaoyu Xu
              5 hours ago















            $begingroup$
            thanks! I didn't know this before.
            $endgroup$
            – David Xiaoyu Xu
            5 hours ago




            $begingroup$
            thanks! I didn't know this before.
            $endgroup$
            – David Xiaoyu Xu
            5 hours ago











            1












            $begingroup$

            ContourPlot[f[x, y] - g[x, y], x, 0, 10, y, 0, 3, 
            Contours -> 0, ContourShading -> None, Red]





            share|improve this answer









            $endgroup$

















              1












              $begingroup$

              ContourPlot[f[x, y] - g[x, y], x, 0, 10, y, 0, 3, 
              Contours -> 0, ContourShading -> None, Red]





              share|improve this answer









              $endgroup$















                1












                1








                1





                $begingroup$

                ContourPlot[f[x, y] - g[x, y], x, 0, 10, y, 0, 3, 
                Contours -> 0, ContourShading -> None, Red]





                share|improve this answer









                $endgroup$



                ContourPlot[f[x, y] - g[x, y], x, 0, 10, y, 0, 3, 
                Contours -> 0, ContourShading -> None, Red]






                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered 5 hours ago









                kglrkglr

                189k10206424




                189k10206424



























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