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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?

plotting

share|improve this question

edited Mar 21 at 5:10

m_goldberg

88.1k872199

asked Mar 20 at 23:13

David Xiaoyu XuDavid Xiaoyu Xu

344

$endgroup$

add a comment | 

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?

plotting

share|improve this question

edited Mar 21 at 5:10

m_goldberg

88.1k872199

asked Mar 20 at 23:13

David Xiaoyu XuDavid Xiaoyu Xu

344

$endgroup$

add a comment | 

$begingroup$

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

edited Mar 21 at 5:10

m_goldberg

88.1k872199

asked Mar 20 at 23:13

David Xiaoyu XuDavid Xiaoyu Xu

344

$endgroup$

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

share|improve this question

edited Mar 21 at 5:10

m_goldberg

88.1k872199

asked Mar 20 at 23:13

David Xiaoyu XuDavid Xiaoyu Xu

344

share|improve this question

edited Mar 21 at 5:10

m_goldberg

88.1k872199

asked Mar 20 at 23:13

David Xiaoyu XuDavid Xiaoyu Xu

344

edited Mar 21 at 5:10

m_goldberg

88.1k872199

edited Mar 21 at 5:10

m_goldberg

88.1k872199

asked Mar 20 at 23:13

David Xiaoyu XuDavid Xiaoyu Xu

344

asked Mar 20 at 23:13

David Xiaoyu XuDavid Xiaoyu Xu

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

answered Mar 20 at 23:17

Henrik SchumacherHenrik Schumacher

59.1k582162

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

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

  
  
  
  

add a comment | 

4

$begingroup$

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

share|improve this answer

answered Mar 20 at 23:53

kglrkglr

190k10206425

$endgroup$

add a comment | 

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4

$begingroup$

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

share|improve this answer

answered Mar 20 at 23:17

Henrik SchumacherHenrik Schumacher

59.1k582162

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

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

  
  
  
  

add a comment | 

4

$begingroup$

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

share|improve this answer

answered Mar 20 at 23:17

Henrik SchumacherHenrik Schumacher

59.1k582162

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

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

  
  
  
  

add a comment | 

$begingroup$

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

share|improve this answer

answered Mar 20 at 23:17

Henrik SchumacherHenrik Schumacher

59.1k582162

$endgroup$

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

share|improve this answer

answered Mar 20 at 23:17

Henrik SchumacherHenrik Schumacher

59.1k582162

answered Mar 20 at 23:17

Henrik SchumacherHenrik Schumacher

59.1k582162

answered Mar 20 at 23:17

Henrik SchumacherHenrik Schumacher

59.1k582162

4

$begingroup$

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

share|improve this answer

answered Mar 20 at 23:53

kglrkglr

190k10206425

$endgroup$

add a comment | 

4

$begingroup$

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

share|improve this answer

answered Mar 20 at 23:53

kglrkglr

190k10206425

$endgroup$

add a comment | 

$begingroup$

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

share|improve this answer

answered Mar 20 at 23:53

kglrkglr

190k10206425

$endgroup$

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

share|improve this answer

answered Mar 20 at 23:53

kglrkglr

190k10206425

answered Mar 20 at 23:53

kglrkglr

190k10206425

answered Mar 20 at 23:53

kglrkglr

190k10206425