dh-Materialien
Maple   Übungen

Funktionen von zwei Veränderlichen

> restart;

Beispiel 1:

> z1:= x*(x^2 + y^2)/(x-y);

z1 := x*(x^2+y^2)/(x-y)

> plot3d(z1,
  x = 2..5, y = 1.7..1.9,
  style = polygonoutline,        
  orientation = [129, 58]);

[Maple Plot]

Beispiel 2:

> z2:= sin(x) + sin(y);

z2 := sin(x)+sin(y)

> plot3d(z2,
  x = -1.5*Pi..1.5*Pi,
  y = -1.5*Pi..1.5*Pi,
  font = [COURIER, 12],
  axes = boxed);

[Maple Plot]

Beispiel 3:

> with(plots):
     Warning, the name changecoords has been redefined

> f(x,y):= x^3 - y^3;

f(x,y) := x^3-y^3

> implicitplot(f(x,y)= x + y,
  x = -2..2,
  y = -3..3,
  numpoints = 2000,
  font = [COURIER, 12],
  thickness = 2);

[Maple Plot]

Beispiel 4:

> gl:= sqrt(a*x^2 + b*y^2) = exp(k*(x + y)): gl;

> gl1:= subs({a = 2, b = 1, k = 1/3}, gl):
mplicitplot(gl1, x = -4..8, y = -10..10,
  thickness = 2,
  font = [COURIER, 12],
  color = blue);

[Maple Plot]

> Bildfolge:= [ ]:
for k from 0.23 to 0.35 by 0.005 do
  Bild:= implicitplot(subs({a = 2, b = 1}, gl),
    x = -4..4,
    y = -1..10,
    thickness = 2,
    color = red,
    axesfont = [COURIER, 12],
    labels = ["", ""],
    numpoints = 500):
  Bildfolge:= [op(Bildfolge), Bild]:
od:
display(Bildfolge, insequence = true);

[Maple Plot]