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slope field solution for my class

3
does anyone know how to create the code for making a slope field? so if i insert a function using gui or something it'll graph the slopes for the function on the graphic screen. here's wat i have so far:

import math
from livewires import *
begin_graphics()
x1=random_between(1,639)
y1=random_between(1,479)
plot(x1,y1)
a=5
while a==5 :
corner= float(random_between(1,3))
if corner == 1:
x2=320
y2=480
elif corner == 2:
x2=0
y2=0
else:
x2=640
y2=0
x1=(x1+x2)/2
y1=(y1+y2)/2
plot(x1,y1)

i know im missing the yend. and probably some other stuff too, but if anyone can help me out finding the missing codes and errors, i'll appreciate it a lot.
Jun 16 '07 #1
4 3000
ttja
3
does anyone know how to create the code for making a slope field? so if i insert a function using gui or something it'll graph the slopes for the function on the graphic screen. here's wat i have so far:
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  1. from livewires import*
  2. import math
  3. begin_graphics()
  4. def slope(x,y):
  5.     return float(x*y)
  6. def xend (x,r,m):
  7.     return [r-r/math.sqrt(1+m**2),x+r/math.sqrt(1+m**2)]
  8. def yend (x,r1,m1,r,m)
  9.         return [r-r/math
  10. r=0.25
  11. y=4
  12. while y>=-4:
  13.     x=-4
  14.     while x<=4:
  15.         m=slope(x,y)
  16.         xnd=xend(x,r,m)
  17.         ynd=yend(x,y,xnd[0],xnd[1],m)
  18.         line(50*xnd[0]+200,50*ynd[0]+200,50*xnd[1]+200,50*ynd[1]+200)
  19.         x=x+1
  20. y=y-1
  21.  
i know im missing the yend. and probably some other stuff too, but if anyone can help me out finding the missing codes and errors, i'll appreciate it a lot.
Jun 16 '07 #2
ttja
3
how would you go about making a slope field using python?
Jun 16 '07 #3
bartonc
6,596 Expert 4TB
For those interested:
Given a system of differential equations,
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  1.     {du}/{dt}=f(t,u,...y,z)
  2.  
  3.          ...
  4.  
  5.     {dy}/{dt}=j(t,u,...y,z)
  6.     {dz}/{dt}=k(t,u,...y,z)
  7.  
the slope field is an array of slope marks in the phase space (the preceding equations imply seven dimensions, but can be any number depending on the number of relevant variables; for example, two in the case of a first-order linear ODE, as seen to the right). Each slope mark is centered at a point (t,u,...y,z) and is parallel to the vector
Expand|Select|Wrap|Line Numbers
  1.     ( 1 \\ f(t,u,...y,z) \\ ... \\ j(t,u,...y,z) \\ k(t,u,...y,z). 
Much prettier here.
Jun 17 '07 #4
bartonc
6,596 Expert 4TB
how would you go about making a slope field using python?
For solving Differential Equations, you'll probably want to check out the scipy extensions.
Also, this IEEE Computer Society article looks interesting.
Jun 17 '07 #5

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