Visualizing the difference curve in a 2D 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?






plotting







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?






    plotting







    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?






      plotting







      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




      plotting






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 51 mins ago









      m_goldberg

      87.7k872198




      87.7k872198










      asked 6 hours ago









      David Xiaoyu XuDavid Xiaoyu Xu

      244




      244






















          2 Answers
          2






          active

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          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
            6 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

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            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
              6 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
              6 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
              6 hours ago


















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
















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




            $begingroup$
            thanks! I didn't know this before.
            $endgroup$
            – David Xiaoyu Xu
            6 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 6 hours ago









                kglrkglr

                189k10206424




                189k10206424






























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