## Coupled diff eq using Rkf45...

(D@@2)(x)(t)=(-g/v)*sqrt(D(x)(t)^2+D(y)(t)^2)*D(x)(t)
(D@@2)(x)(t)=g-g/v*sqrt(D(x)(t)^2+D(y)(t)^2)*D(y)(t)
initial conditions
x(0)=0,y(0)=0,d(x)(0)=134,d(y)(0)=0
using rkf45
for time, 0-30
solve for x(t),y(t)
then i plan to plot the two and find the intersection
but i'm having trouble getting through the rkf45 to get my x(t) and y(t)

## Pretty printing on a jsp page...

Is it possible to have MapleNet generate pretty-printed math formulas as images, or does it require the user to have a browser that can render MathML?

For instance, in the integration.jsp demo I can use

<maple:statement type="text">doInt()</maple:statement>

to print out

-4/17*cos(4*x)*exp(-x)-1/17*sin(4*x)*exp(-x)

But what if I wanted that pretty-printed, and I was on a browser that didn't support MathML. Is there any way I could do that?

## Multiple Mapping...

I intended to post this msg in this forum but somehow put into the MAPLE TA forum. Here it is where it belongs. I know this is a really basic question & I'm kind of surprised I haven't run into this situation before, but here goes. Multiple assignments are possible, e. g. a,b,c = 1,2,3 What's the simplest MAPLE command(s) which will place into each of these 3 variables a value twice its previous value. I try stuff like a,b,c = map(x->2*x,(a,b,c)) and MAPLE says no way!

## coupled differential equations...

how do i solve a set of coupled differential equations like these for x(t) and y(t) eqn1 := (D,2)(x)(t) = -a*sqrt(D(x)(t)^2+D(y)(t)^2)*D(x)(t), eqn2 := (D,2)(y)(t) = g-a*sqrt(D(x)(t)^2+D(y)(t)^2)*D(y)(t)

## Surface Coloring...

Hi, Im using the display command to plot 3d surefaces/projections (which the also overlap on different occasions)on the same graph coming from different equations. My question is how can i colour the surfaces with a command (its too hard to do it onthe graph)so i know to which equation each surface corresponds to? Is there an additional way offered from maple to distinuish the graphs from each other. Finaly, I use the command labels=[x,y,z] to call my axis "Time of Fault Clearance,s" , "Magnitude of Fault Current" , "Parametr".How do i syntax a string? Thanks for your time

## Creating a Matrix using nested for loops like in m...

Below is the code I'm trying to get working. In matlab this would be cake, but I can't seem to figure out how to get this working in Maple. Help Please.... > for j from 1 by 1 to 6 (for n by 1 to 6 do M[j,n]:=(∫)[o]^(l)(phi)[j]*(phi)[n]*p ⅆx end) end do; Error, invalid sequence for j from 1 by 1 to 6 (Typesetting:-mambiguous(for , Typesetting:-merror( Ok I also can't get my code to past in..... urgh...

## Make all tabs appear at top...

Hi, I am having a problem with making all of my worksheets appear as tabs. Maple only displays a worksheet and then I have to use the back or forward arrows or the "more" windosw pull down to activate a sheet. I have had all the worksheets appear as tabs above the worksheet before, but cannot figure out how I did this. I am using Student Maple 10. Can anyone tell me how to make them appear as tabs? I have check what I think is the appropriate box.. open worksheets in new tab. TIA Larry Ciak aka malt_master@comcast.net

## I have an expression result that incorporates D(k)...

what does that mean? I cannot find it on the help?

## testing equivalence of relations...

Hello, my question is connected to the topic in my blogpost - Testing objects for equivalence. Alec Mihailovs wrote a procedure for nested verifications. But this doesn't work for relations where one relation equals to the second one multiplied by a constant. They are different, but solution is the same. For example: x=1 2*x=2 also Maple answers false. `verify(x=1, 2*x=2,relation);` false

## Triangle brackets...

Hi, I have a question. In the Classic Worksheet in Maple 10, how do we change the triangle brackets <> to the square brackets [] when entering matrices with the Matrix palette. Thanks

## second derivative to find inflection points...

I have found the second derivative of a function, but am unable to identify the correct command in maple that will allow me to solve for my variable when the derivative is equal to zero. I am attempting to identify the points of inflection. I thought that the command would be similar to the one I used for the first derivative, but it is not working. This is what I tried. (D(D(f)(x)),=0.0,x); I used D(D(f)(x)); to find my second derivative. I used D(f)(x); to find my first derivative and (D(f)(x)),=0.0,x) to find all points where x was equal to zero for my first derivative. I have also tried (D@@2)(f); with no success.

## Using the del operator and diff with respect to a ...

Hi I need to use the 'del' operator form with both subscript and superscript acting on it. I would for example like to be able to differentiation of a function that combines a number of vectors with respect to a particular vector. I then need to take the components for example (x) corresponding to the subscript on the del operator. Is there an easy way to do this? I can perhaps make it simpler by just using the standard derivative, but dont know how to do this with respect to a vector. Could someone help out a newbie here. I can then take the dot product with a unit vector in the x direction to obtain just the x component.

## I am new here and I need some help !!!...

My question is: (Frent Analysis)
I have this vector function S:=t-> <t^3,3*t,t^4>
I got S(1) wich is <1,3,1>
Also, I got TNBFrame(s(t),t);
and tnb1:=eval(%,t=1) for t=1
I got the Normal Vectot N, Binormal Vector B,the curvature(s(t),t), and curv:=eval(%,t=1);

the question:
Armed with this knowledge, use Maple to find the equation of the osculation circle to the curve s(t) at t=1. Plot the curve and the osculation circle on the same plot. Also, plot the three vectors, T,N, and B, at the point s(1), with different colors, at the same plot as the curve and the circle.