︠54d83783-bc8e-441e-820c-485eb48078e3i︠
%html
<h3>Solving ODEs</h3>
<p>Specify f as in y'=f(x,y) and the initial point (Start_x, Start_y).</p>
GeoGebra will use the End_x and Step to graphically approximate the solution.
Sage will symbolically compute the exact solution.

︡67307e01-40aa-4e89-83e9-a2d93d4258b3︡{"html": "<h3>Solving ODEs</h3>\r\n<p>Specify f as in y'=f(x,y) and the initial point (Start_x, Start_y).</p>\r\nGeoGebra will use the End_x and Step to graphically approximate the solution.\r\nSage will symbolically compute the exact solution."}︡
︠488bb63f-f271-492b-9490-9dc0c0ab1474ai︠
%hide
%auto
var('x,y')
@interact
def _(f = input_box(default= 3-y-x),Start_x=input_box(default=-3), Start_y=input_box(default=1),End_x=input_box(default=5),Step=input_box(default=(1/10))):
    
    ######################Solve ODE with Sage:
    y = function('y', x)
    F = desolve(diff(y,x) == f, y, ics=[Start_x,Start_y], ivar=x)
    show(y==F) 
    #show(plot(F))
    #######################solve ode with ggb
    var('x,y')
    html('<script type="text/javascript">document.getElementById("ggbAp").reset()</script>')
    #html('<script type="text/javascript">document.getElementById("ggbAp").evalCommand("A = Point[{%s,%s}]")</script>'%(Start_x, Start_y))
    html('<script type="text/javascript">document.getElementById("ggbAp").evalCommand("A = (%s,%s)")</script>'%(Start_x, Start_y))
    
    #Sin punto: html('<script type="text/javascript">document.getElementById("ggbAp").evalCommand("SolveODE[%s,%s,%s,%s,%s]")</script>'%(f,Start_x, Start_y, End_x, Step))
    html('<script type="text/javascript">document.getElementById("ggbAp").evalCommand("loc = SolveODE[%s, x(A), y(A),%s,%s]")</script>'%(f,End_x, Step))
    #html('<script type="text/javascript">document.getElementById("ggbAp").setLineThickness(loc, 5)</script>')
    #html('<script type="text/javascript">document.getElementById("ggbAp").setLineStyle(loc, 2)</script>')
︡912efa1d-60ac-4e7c-a8cd-8cd92bf1abfa︡︡
︠0ef62622-fafa-4c8c-8c03-7dfa305610b0i︠
%html
<applet id ="ggbAp" name="ggbAp" code="geogebra.GeoGebraApplet" archive="http://www.geogebra.org/webstart/4.0/geogebra.jar" width=1050 height=500 MAYSCRIPT><param name="framePossible" value="false"/><param name="showToolBar" value="true"/><param name="showAlgebraInput" value="true"/><param name="filename" value="http://www.sagenb.org/home/mabanades/54/data/empty.ggb"/><param name="language" value="en"/><param name="showMenuBar" value="true"/></applet>

︡0b2545a4-ae74-4163-a0fd-0dc300c9fbb1︡{"html": "<applet id =\"ggbAp\" name=\"ggbAp\" code=\"geogebra.GeoGebraApplet\" archive=\"http://www.geogebra.org/webstart/4.0/geogebra.jar\" width=1050 height=500 MAYSCRIPT><param name=\"framePossible\" value=\"false\"/><param name=\"showToolBar\" value=\"true\"/><param name=\"showAlgebraInput\" value=\"true\"/><param name=\"filename\" value=\"http://www.sagenb.org/home/mabanades/54/data/empty.ggb\"/><param name=\"language\" value=\"en\"/><param name=\"showMenuBar\" value=\"true\"/></applet>"}︡


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