Systems of differential equations: Difference between revisions

Revision as of 08:45, 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,y_1) }[/math], [math]\displaystyle{ (x_0,y_2) }[/math].

@@ Line 1: / Line 1: @@
 Display solutions of the ordinary differential equation
-:<math> y'= f(x,y)</math>
+:<math> y_1'= f_1(x,y_1,y_2)</math>
-with initial value <math>(x_0,y_0)</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>.
 <html>
 <form>
-f<sub>1</sub>(x,y)=<input type="text" id="odeinput1" value="(2-x)*y"><br />
+f<sub>1</sub>(x,y1,y2)=<input type="text" id="odeinput1" value="y1+y2"><br />
-f<sub>2</sub>(x,y)=<input type="text" id="odeinput2" value="(2-x)*y"><input type=button value="ok" onclick="doIt()">
+f<sub>2</sub>(x,y1,y2)=<input type="text" id="odeinput2" value="y2+1"><input type=button value="ok" onclick="doIt()">
 </form>
 </html>