Image:Diffeq.png

[edit] Summary

Shows the solutions to the equation

Some of the particular solutions are in blue; the singular solution is in green; and a hybrid solution is in red. I used this image on Wikipedia's ODE page to illustrate the different types of solution.

baccala@freesoft.org 29 Oct 2005

[edit] Source

#!/usr/bin/gnuplot

set terminal png
set output "diffeq.png"

set key off

set style line 1 lt 8
set style line 2 lt 2 lw 3
set style line 3 lt 1 lw 3

# set yzeroaxis lt -1

set parametric

plot [x=-10:10] [-10:10] [-25:25] \
x,0 ls 1, \
x,x+1 ls 1, \
x,-x+1 ls 1, \
x,2*x+4 ls 1, \
x,-2*x+4 ls 1, \
x,3*x+9 ls 1, \
x,-3*x+9 ls 1, \
x,4*x+16 ls 1, \
x,-4*x+16 ls 1, \
x,5*x+25 ls 1, \
x,-5*x+25 ls 1, \
x,6*x+36 ls 1, \
x,-6*x+36 ls 1, \
x,7*x+49 ls 1, \
x,-7*x+49 ls 1, \
x,8*x+64 ls 1, \
x,-8*x+64 ls 1, \
x,9*x+81 ls 1, \
x,-9*x+81 ls 1, \
x,10*x+100 ls 1, \
x,-10*x+100 ls 1, \
x,11*x+121 ls 1, \
x,-11*x+121 ls 1, \
x,-(.25)*(x*x) ls 2, \
(x-12),(x-12)+1 ls 3, \
(x+12),-(x+12)+1 ls 3, \
(x/5),-(.25)*((x/5)*(x/5)) ls 3

[edit] Licensing

I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide. In case this is not legally possible: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. Afrikaans | Alemannisch | Aragonés | العربية | Asturianu | Български | Català | Česky | Cymraeg | Dansk | Deutsch | Eʋegbe | Ελληνικά | English | Español | Esperanto | Euskara | Estremeñu | فارسی | Français | Galego | 한국어 | हिन्दी | Hrvatski | Ido | Bahasa Indonesia | Íslenska | Italiano | עברית | Kurdî / كوردی | Latina | Lietuvių | Latviešu | Magyar | Македонски | Bahasa Melayu | Nederlands | ‪Norsk (bokmål)‬ | ‪Norsk (nynorsk)‬ | 日本語 | Polski | Português | Ripoarisch | Română | Русский | Shqip | Slovenčina | Slovenščina | Српски / Srpski | Svenska | ไทย | Tagalog | Türkçe | Українська | Tiếng Việt | Walon | ‪中文(简体)‬ | ‪中文(繁體)‬ | zh-yue-hant | +/-

Les pages ci-dessous contiennent cette image :

• Équation différentielle
• Enveloppe (géométrie)