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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

edited 10 mins ago

m_goldberg

87.7k872198

asked 6 hours ago

David Xiaoyu XuDavid Xiaoyu Xu

244

$endgroup$

add a comment | 

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

edited 10 mins ago

m_goldberg

87.7k872198

asked 6 hours ago

David Xiaoyu XuDavid Xiaoyu Xu

244

$endgroup$

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 10 mins ago

m_goldberg

87.7k872198

asked 6 hours ago

David Xiaoyu XuDavid Xiaoyu Xu

244

$endgroup$

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 10 mins ago

m_goldberg

87.7k872198

asked 6 hours ago

David Xiaoyu XuDavid Xiaoyu Xu

244

share|improve this question

edited 10 mins ago

m_goldberg

87.7k872198

asked 6 hours ago

David Xiaoyu XuDavid Xiaoyu Xu

244

edited 10 mins ago

m_goldberg

87.7k872198

edited 10 mins ago

m_goldberg

87.7k872198

asked 6 hours ago

David Xiaoyu XuDavid Xiaoyu Xu

244

asked 6 hours ago

David Xiaoyu XuDavid Xiaoyu Xu

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

answered 6 hours ago

Henrik SchumacherHenrik Schumacher

57.3k577157

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

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

  
  
  
  

add a comment | 

1

$begingroup$

ContourPlot[f[x, y] - g[x, y], {x, 0, 10}, {y, 0, 3}, 

  Contours -> {{0}}, ContourShading -> {None, Red}]

share|improve this answer

answered 5 hours ago

kglrkglr

189k10206424

$endgroup$

add a comment | 

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3

$begingroup$

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

share|improve this answer

answered 6 hours ago

Henrik SchumacherHenrik Schumacher

57.3k577157

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

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

  
  
  
  

add a comment | 

3

$begingroup$

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

share|improve this answer

answered 6 hours ago

Henrik SchumacherHenrik Schumacher

57.3k577157

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

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

  
  
  
  

add a comment | 

$begingroup$

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

share|improve this answer

answered 6 hours ago

Henrik SchumacherHenrik Schumacher

57.3k577157

$endgroup$

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

share|improve this answer

answered 6 hours ago

Henrik SchumacherHenrik Schumacher

57.3k577157

answered 6 hours ago

Henrik SchumacherHenrik Schumacher

57.3k577157

answered 6 hours ago

Henrik SchumacherHenrik Schumacher

57.3k577157

1

$begingroup$

ContourPlot[f[x, y] - g[x, y], {x, 0, 10}, {y, 0, 3}, 

  Contours -> {{0}}, ContourShading -> {None, Red}]

share|improve this answer

answered 5 hours ago

kglrkglr

189k10206424

$endgroup$

add a comment | 

1

$begingroup$

ContourPlot[f[x, y] - g[x, y], {x, 0, 10}, {y, 0, 3}, 

  Contours -> {{0}}, ContourShading -> {None, Red}]

share|improve this answer

answered 5 hours ago

kglrkglr

189k10206424

$endgroup$

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 5 hours ago

kglrkglr

189k10206424

$endgroup$

ContourPlot[f[x, y] - g[x, y], {x, 0, 10}, {y, 0, 3}, 

  Contours -> {{0}}, ContourShading -> {None, Red}]

share|improve this answer

answered 5 hours ago

kglrkglr

189k10206424

answered 5 hours ago

kglrkglr

189k10206424

answered 5 hours ago

kglrkglr

189k10206424