## 60 Reputation

10 years, 226 days

## Solving simultaneous equations ...

Could someone show me how to solve the following equations for real x, y and z.

Thanks

x^2 + 2yz^2 = 0,

y^2  - 3xz = 0,

1/3*x*y^2 + 2*y*z^3 = 0,

-1/3*y^4 - 6yz^4 = 0.

## Plotting graphs in maple.2...

Hi, there i want to basically plot the graph attached. It is basically the graph y= 2x^2 transformed to y = x^2. I can plot them, but how do they get the arrows showing the transformation and the arrows on the axis. Any help would be appreciated.

Thanks

## Plotting graphs in Maple...

Hi, how would you add arrowheads to the x and y-axis to show that they continue.

Thanks

## Maple export to pdf...

Hi, i am trying to export the following bifurcation diagram into a pdf.

Digits:=20: N:=10000: M:=100: x_max:=1: r_min:=0:
r_max:=4: for n from 0 to N do r:=r_min+n/N*(r_max-r_min):
x:=evalf(x_max*rand()/10^12):for m from 0 to M do x:=x*exp(r*(1 - x)): od:
X[n]:=x: od:
with(plots):
bifpoint:={seq([r_min+j/N*(r_max-r_min),X[j]],j=0..N)}:
pitchf:=pointplot(bifpoint,symbol=point):display(pitchf);

For some reason the graph is just blank, with just the axis when i export to pdf.

## bifurcation diagram...

How would i label the axis and change its font and size.

Also, how would i move the horizontal axis down, so that the whole diagram can be seen. (Hope that makes sence)

Finally, there are some odd points between 0 and 1 on the vertical axis, how do you get rid of these...

Digits:=20: N:=10000: M:=100: x_max:=1: r_min:=0:
r_max:=4: for n from 0 to N do r:=r_min+n/N*(r_max-r_min):
x:=evalf(x_max*rand()/10^12):for m from 0 to M do x:=x*exp(r*(1 - x)): od:
X[n]:=x: od:
with(plots):
bifpoint:={seq([r_min+j/N*(r_max-r_min),X[j]],j=0..N)}:
pitchf:=pointplot(bifpoint,symbol=point):display(pitchf);

Thanks

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