ODE, infinite domain...

TQ.mw

Can any one help for finding the solution of these differntial equations and then plotting the graph for differnt values of M

(FILE ATTACHED)

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How do I plot a lemniscate in Maple?...

A lemniscate is a polar curve of the form r^2=a^2*cos(2*theta) or r^2=a^2*sin(2*theta). I have just started using Maple and I wrote the following commands:

> with(plots):
> polarplot(2*sqrt(cos(2*t)), axiscoordinates = cartesian, angularunit = radian, color = "Black");

But I am getting the following graph

which is not satisfactory since some points are missing. I know that using the square root may have caused this, but I am not sure as to how should I resolve this issue. I used plus/minus symbol before the expression 2(cos(2t))^(0.5) but there was an error and the discontinuity still persisits. Kindly help me in plotting this curve.

Thank you.

Export pictures to PDF in Maple (what I see is wha...

I have two figures that's generated in Maple (by plot), then pasted them to a worksheet, which I would like to export them to PDF format with exactly the same as it seems on Maple, meaning that these two figures need to be on the same row.

However, in the exported PDF, these two figures are always in two rows: see Fig_1.mw and Fig_1.pdf

What I tried was: to really resize these two figures into very small size, and the export works, however, I also need three figures or four figures in one row. See Fig_2.mw and Fig_2.pdf

So there is actually two questions:

1. Can I specify some parameters in Maple such that the exported PDF is exactly 'what I see is what I get'?

2. If #1 is impossible, where can I get the information on: width of the exported PDF, how to specify the precise size of plot command etc

Thanks,

How to shade area between 3 functions and define a...

I tryed this, because i thought i might be abel to shade this new piecewise function later on, but i dont know how to tell maple that there is 2 y-axes values in the interval from (2;3):

so it failed.

pleace help regards Niklas.

plot of system of equations...

Hi

I have a system of equations (4) which I would like to plot in regards to a fifth variable. Is there a good way to do this. Some of the solutions would end up as negative values, which is not an option I am interested in having.

C__A is my variable, and the other variables I would like to solve are tau,C__B,C__C,C__D. Im specifically interested in tau with regards to C__A. I hope this makes sense :)

regards

C__A := .75;
0.75

a := tau = (C__A0-C__A)/(-r__A);
0.75
tau = - ------------------------------------------------
2
-0.00900 C__B + 0.03500000000 C__C  - 0.075 C__C
b := tau = (C__B0-C__B)/(-r__B);
2 - C__B
tau = - -----------------------------------
2
-0.00900 C__B + 0.03500000000 C__C
c := tau = (C__C0-C__C)/(-r__C);
C__C
tau = ---------------------------------------
2
0.01800 C__B - 0.070 C__C  - 0.075 C__C
d := tau = (C__D0-C__D)/(-r__D);
13.33333333 C__D
tau = ----------------
C__C
sol := fsolve([a, b, c, d], {C__B = 1, C__C = .2, C__D = .2, tau = 50});

{C__B = 1.673672109, C__C = 0.2289836744, C__D = 0.4236721086,

tau = 24.66971264}

How to plot two or more functions/relations at a t...

I'm doing a Maximum/Minimum problem ( Calculus 3).

I need to plot f(x,y) =   x2  + y 2 -2y + 1

over R={x,y): x 2 + y 2         (less than or equal sign) 4}

Plot object popout...

Is it possible to have an information box pop out when cursor is hovered over a plotted point?

plotting problem...

hello, i just try to plot the relation between my outputs (u, and phat) with i from 0 to 10 , but i have aproblem any suggestions?

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 > p:=Array(0..10):   p[0]:=0:   for i from 0 to 4 do       p[i+1]:=50*sin(3.14*(i+1)*(4)/0.6):       phat[i+1]:= p[i+1]+((7)*u[i])+((8)*u__dot[i])+((9)*u__doubledot[i]):       u[i+1]:= phat[i+1]/(5):       u__dot[i+1]:=(20*(u[i+1]-u[i]))-u__dot[i]:       u__doubledot[i+1]:= ((400*(u[i+1]-u[i]))-(40*u__dot[i])-(u__doubledot[i])): end do; for i from 5 to 9 do       p[i+1]:=0.0:       phat[i+1]:= p[i+1]+((7)*u[i])+((8)*u__dot[i])+((9)*u__doubledot[i]):       u[i+1]:= phat[i+1]/(5):       u__dot[i+1]:=(20*(u[i+1]-u[i]))-u__dot[i]:       u__doubledot[i+1]:= ((400*(u[i+1]-u[i]))-(40*u__dot[i])-(u__doubledot[i])):   end do;
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 > fd_table:=eval(seq[u(i),phat(i)],i=0..N);
 (11)

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Legend symbol in maple...

Usually maple displays legend as either a colored line or symbol. If pointline is used in the structure of the command the plot is displayed as both point and line while the legends appear as a colored line, Is there a way in which the curve will combine both point and line and the legend(s) will be strictly point?

Thank you and kind regards

Why is the plot not continuous ? ...

Hi everybody,

I have a continuous function f of a single variable (all the details can be found in the attached file) and I want to build a more regular approximation of it (let's say F). The construction process ensures that F is C-infinite.

When I plot f and F (command "plot"), for visual comparisons, the F curve presents "holes", that is intervals where there is no plot.
However, the value of F(x) for any x in those void ranges is a real just as F(y) is for any y in a plotted interval.

Note that this phenomenon does not appear  when I use PLOT(CURVES(...)) for F (attached file)

I guess I probably use "plot" in a wrong way, or maybe some option I don't know
could prevent it to happen ?

Could you please have a look to the attached file ?
I look forward for your response.

LacunaryPlot.mw

Multiple plot for different values of M...

I m using the follwing commands for ploting the five differnt values of M

```with(plots):
SDfd1 := odeplot(dsol[1], [eta, diff(f(eta), eta)], -1 .. 1, color = green, axes = box);
SDfd2 := odeplot(dsol[2], [eta, diff(f(eta), eta)], -1 .. 1, color = red, axes = box);
SDfd3 := odeplot(dsol[3], [eta, diff(f(eta), eta)], -1 .. 1, color = blue, axes = box);
SDfd4 := odeplot(dsol[4], [eta, diff(f(eta), eta)], -1 .. 1, color = black, axes = box);
SDfd5 := odeplot(dsol[5], [eta, diff(f(eta), eta)], -1 .. 1, color = pink, axes = box);
display([SDfd1, SDfd2, SDfd3, SDfd4, SDfd5], labels = ["η", "f ' (η)"],
labeldirections = [horizontal, vertical], labelfont = [italic, 16], axes = boxed,
axesfont = [times, 14], thickness = 3);```

But i do not want in colors.....i need graph without colors in different styles. how can ? Moreover i need legend which must be in centre of graph or within the box. It must not on left, right ,up or below. can some one help ?

Why are not subscripts appeared in the labels?...

```restart:
tf:=2:
n:=2:
X[1]:=t->t^2:
A[1]:=diff(X[1](t),t,t):
plot(A[1](t),t=0..tf,labels=["Time t","n times derivative of X[1](t)"]);
```

I have a code like above. I run it. Then,

in the labels; it was written "n times derivative of X[1](t)"] why not "2 times derivative of X[1](t)"]) ? and why was not the subscript appeared ? I mean that I want to see X1 instead of  X[1]?

Thank you.

Plotting graphs for series...

Hello everyone, I was trying to plot graph for some functions but its just plotting one plot. Anyone with useful information please.

Pe.maple

2D plot help.............

Hello everyone,

I ploted two functions on 2D plane. I need it for my paper and I need the part of the functions under y=x line. Is there a way I can show only the functions below the red line. I attached the maple file. Thank you.

equilibrium.mw

YC