Difference between revisions of "Systems of differential equations"

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Display solutions of the ordinary differential equation
 
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>
 
<html>
 
<form>
 
<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>
 
</form>
 
</html>
 
</html>

Revision as of 10:45, 21 July 2010

Display solutions of the ordinary differential equation

[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].

f1(x,y1,y2)=
f2(x,y1,y2)=