so i have the following functions in my college calc class for our maple homework assignment:
f(x)=x^4 and g(x)=6^x
i have to plot them and then find their point of intersection using maple. i have no problem plotting it but i cant seem to figure out how to find the intersection point. all the ways i have tried just give me a list of answers with natural log and something with the word LambertW in it. if some one could help me out i would greatly appreciate it.

I have a second-order differential equation
```
dEq := diff(theta(t), t, t) = sin(theta(t))
```

i would like to find the solution of it, so
```
soln := dsolve({dEq, theta(0) = 0, (D(theta))(0) = 0}, theta(t))
```

and then **plot **the solution, that is plot 'theta' vs. 't'
but the solution contains weird charecters and I tried many examples on the net but never worked out for me. Can you guys help?
thank you in advance.

Why there is no way (except I am stupidly missing something) to let

Maple convert exp(phi*I) to argument with piecewise discussing the

input (as it is explained quite nice in ?argument)?

Even assume(-Pi < phi, phi <= Pi) does not help and results in some

arctan(sin(phi),cos(phi)) and convert(%, piecewise, phi) does not

give the desired presentation.

I recently posted a worksheet to my blog. I used the feature in the MAPLE file manager which turns a worksheet into code so it can be displayed more or less the same way it looks in MAPLE. I copied this code and pasted it into the text of my post. When I did a preview I saw what I would refer to as the "blue equations" but for the equations I actually typed into the worksheet at the MAPLE prompt, I only got boxes which said "Maple equation". When I click on these boxes nothing happens. So someone would really have to open my worksheet to get any sense of what I was talking about, which was not what I intended. I don't recall running into this problem before. Maybe I am doing something different than before and just don't know it. I would appreciate any suggestions.

p >Hello. I'm still kind of new to the practice of using a computer program to manipulate equations. I knew that one way to define an ellipse is as the locus of points P such that for 2 fixed points F1 and F2 the sum PF1 + PF2 is constant. I also know that in Cartesian coordinates, we get a formula of the form Ax2 + By2 = 1. If we set up our coordinate system such that F1 and F2 are on the x axis each a distance c from the origin and the maximum width of the ellipse is 2a, let's try to figure out A and B using MAPLE.

**> **

Hi
Our university (Univ. Sao Paulo - Brazil) has license for maple 9 (not sure which release).. It can be also that the version they have is Maple 6 since there is a xmaple6 in the files (see bellow)
I use in my machine Ubuntu linux, the newest version.
Althoug it says it has linux support for maple, nobody was able to install it from the instructions provided from above to us, users. I will describe the situation:
we get from the university a tar file containing the files
root@edf:/etc/Maple/bin.IBM_INTEL_LINUX_REDHAT# ls -1
hostpatch
ld-linux.so.2
libc.so.6
libdl.so.2
libICE.so.6

Hi
I got an equation that I would like to find out its turning points.As you know you first have to differentiate it and then.....
Here is my command on maple:
y:=x->6x^2-7x-3*exp(-1/5*x);
df:=diff(y(x),x);
solve(%,x);
and then I get
5 LambertW(-1/100 (e)^(((-7)/60)))+7/12
5 LambertW(-1,-1/100 (e)^(((-7)/60)))+7/12
as answers, I don't know if they are correct, but I do know that there must be a simpler answer than this! I was therefore wondering if you guys know how I can approach this problem differently!
Thanks
Chris

I wish to know if there is way to plot the following functions:
x1=X1+X2*gamma(t)
x2=X2
and
x1=alpha*cons(theta)*X1-beta*sin(theta)*X2+gamma
x2=alpha*sin(theta)*X1-beta*cos(theta)*X2+gamma
where in the second one alpha, beta. and gamma are constants.
many thanks,
A.

Hi,
At my university i saw a presentation of maple. It was running under
linux (kde), and obviously it had a (Trolltech) Qt GUI. I really would like
to work under a Qt-GUI, too, but I have no idea how to do that. The only GUI
I get to work is the normal Swing-GUI of the Java Version.
Thanks a lot,
David

I'm having problems plotting the derivative of a function after I've solved the ODE in an ODE system. Any help appreciated!
The MAPLE help for plots,odeplot says:
"Multiple curves can be plotted by specifying a nested list format. For example, [[x,y(x)],[x,diff(y(x),x)]] displays the dependent variable and its derivative as a function of x on the same plot."
So, here's my problem. I define mtest with my two ODE's and two initial values, and solve it numerically over my specified range. This works great.
mtest := [diff(m(t), t) = -43/25*exp(-8527.784461/(pt(t)+273.15)+19.03523317)*(m(t)-exp(-23300/(8.314*pt(t)+2270.96910)+2.646139043)), diff(pt(t), t) = 240, m(0) = 1, pt(0) = 105];

How do I change the spacing between lines in the MathMLViewer?

The following equation cannot be plotted correctly in the usual 3 dimensional plot with Cartesian coordinates.
eq := (x^2+y^2+z^2-1)^3 - x^2*z*3 - y^2*z^3 = 0;
Either a 3 dimensional implicit plot, or a spherical coordinates plot is needed. What surprised me was how long Maple 10.06 took to produce the latter with very roughly the same amount of detail as the former: 454 s versus 0.7 s.
It seems as though one should always prefer the implicit plot to the spherical plot if the 3 dimensional Cartesian plot fails. I would be grateful for any thoughts about this and any improvements to the code below. (Apologies for not posting the worksheet – I think that File Manager might object to its 10MB size!)

Hello,
I would like to do some computations with Legendre polynomials. I would like to know, if Maple is able to do some simplifications and use orthogonality of Legendre polynomials.
For example
> Int(LegendreP(m,x)*LegendreP(n, x), x=-1..1);
This integral should be zero or 2/(2*n+1), depending on the relation between m and n.
Is there any chance to get it (maybe using the procedure assume() )?
another example:
> diff(LegendreP(n,x), x$n);
This should be (2*n)!
Thank you very much for your help.
Karel Srot

I have defined a function in a parameter form
x:= ....
y:= ....
and I have defined a circle in a parameter form
X:= ....
Y:= ....
Now I want to calculate the intersectionpoints.
I could use:
solve(x=X,t) and solve (y=Y,t) but the teacher teached me that some points are going lost if you use to separate commando's.
Now is the question what's the commando for combining these two solves.
My concrete example:
restart:x:=2*cos(t)+cos(2*t);
x := 2 cos(t) + cos(2 t)
> y:=2*sin(t)-sin(2*t);
>
y := 2 sin(t) - sin(2 t)
Circle: