File:Diffeq.png
Summary
| Description |
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 |
| Date | 29 October 2005 (original upload date) |
| Source | No machine-readable source provided. Own work assumed (based on copyright claims).Category:Assumed own work |
| Author | No machine-readable author provided. Baccala@freesoft.org~commonswiki assumed (based on copyright claims). Category:Files with no machine-readable source |
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
% MatLab code h = figure hold on box on x = [-10 10]; plot(x,[0 0]); V = [1:1:11]; for i=1:numel(V) plot(x,V(i)*x+V(i)^2,'b',x,-V(i)*x+V(i)^2,'b'); end x = [-10:0.1:10]; plot(x,-0.25*x.*x,'g','LineWidth',3); plot(x-12, (x-12)+1,'r','LineWidth',2); plot(x+12,-(x+12)+1,'r','LineWidth',2); plot((x/5),-.01*x.*x,'r','LineWidth',2); axis([-10 10 -25 25]); axis square
Licensing
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I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
