Image:Diffeq.png
Un article de Wikipédia, l'encyclopédie libre.
Diffeq.png (11 ko, type MIME : image/png)
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[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
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