Systems of differential equations: Difference between revisions

Revision as of 08:52, 21 July 2010

Display solutions of the ordinary differential equation

[math]\displaystyle{ y_1'= f_1(x,y_1,y_2) }[/math]

[math]\displaystyle{ y_2'= f_2(x,y_1,y_2) }[/math]

with initial values [math]\displaystyle{ (x_0,c_1) }[/math], [math]\displaystyle{ (x_0,c_2) }[/math].

@@ Line 2: / Line 2: @@
 :<math> y_1'= f_1(x,y_1,y_2)</math>
 :<math> y_2'= f_2(x,y_1,y_2)</math>
-with initial values <math>(x_0,y_1)</math>, <math>(x_0,y_2)</math>.
+with initial values <math>(x_0,c_1)</math>, <math>(x_0,c_2)</math>.
 <html>
 <form>
@@ Line 12: / Line 12: @@
 var brd = JXG.JSXGraph.initBoard('jxgbox', {axis:true, boundingbox:[-11,11,11,-11]});
 var N = brd.create('slider',[[-7,9.5],[7,9.5],[-15,10,15]], {name:'N'});
-var P1 = brd.create('point',[0,1], {name:'(x_0,y_1)'});
+var P1 = brd.create('point',[0,1], {name:'(x_0,c_1)'});
 var line = brd.create('line',[function(){return -P1.X();},function(){return 1;},function(){return 0;}],{visible:false});
-var P2 = brd.create('glider',[0,2,line], {name:'(x_0,y_2)'});
+var P2 = brd.create('glider',[0,2,line], {name:'(x_0,c_2)'});
 function doIt() {
@@ Line 27: / Line 27: @@
 }
-var g1 = brd.createElement('curve', [[0],[0]], {strokeColor:'red', strokeWidth:'2px', name:'y_1'});
+var g1 = brd.createElement('curve', [[0],[0]], {strokeColor:'red', strokeWidth:'2px', name:'y_1', withLabel:true});
-var g2 = brd.createElement('curve', [[0],[0]], {strokeColor:'black', strokeWidth:'2px', name:'y_2'});
+var g2 = brd.createElement('curve', [[0],[0]], {strokeColor:'black', strokeWidth:'2px', name:'y_2', withLabel:true});
 g1.updateDataArray = function() {
      var data = ode();