Visualizing the difference curve in a 2D plot?












4












$begingroup$


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











$endgroup$

















    4












    $begingroup$


    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











    $endgroup$















      4












      4








      4





      $begingroup$


      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 Mar 21 at 5:10









      m_goldberg

      88k872199




      88k872199










      asked Mar 20 at 23:13









      David Xiaoyu XuDavid Xiaoyu Xu

      344




      344






















          2 Answers
          2






          active

          oldest

          votes


















          4












          $begingroup$

          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
            Mar 20 at 23:41



















          4












          $begingroup$

          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

            oldest

            votes








            2 Answers
            2






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            4












            $begingroup$

            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
              Mar 20 at 23:41
















            4












            $begingroup$

            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
              Mar 20 at 23:41














            4












            4








            4





            $begingroup$

            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 Mar 20 at 23:17









            Henrik SchumacherHenrik Schumacher

            58.7k581162




            58.7k581162












            • $begingroup$
              thanks! I didn't know this before.
              $endgroup$
              – David Xiaoyu Xu
              Mar 20 at 23:41


















            • $begingroup$
              thanks! I didn't know this before.
              $endgroup$
              – David Xiaoyu Xu
              Mar 20 at 23:41
















            $begingroup$
            thanks! I didn't know this before.
            $endgroup$
            – David Xiaoyu Xu
            Mar 20 at 23:41




            $begingroup$
            thanks! I didn't know this before.
            $endgroup$
            – David Xiaoyu Xu
            Mar 20 at 23:41











            4












            $begingroup$

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





            share|improve this answer









            $endgroup$


















              4












              $begingroup$

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





              share|improve this answer









              $endgroup$
















                4












                4








                4





                $begingroup$

                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 Mar 20 at 23:53









                kglrkglr

                190k10206424




                190k10206424






























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