Find the solution(s) of the differential equation E=(1+x^2)*(dy/dx)^2+y(x)^2, when E=1 and the initial condition y(0)=0 is imposed.

Plot your solutions oner the range 0<=x<=12, also plot y against log(x) for 1<=x<=10^4. Comment on the number of solutions obtained and their relation to each other.

Find the first three zeros of y(x) to 2.s.f (that is, xc such that y(xc)=0)

My solution:

E:=(1+x^2)*(diff(y(x),x))^2+(y(x))^2;

Hi colleagues:
Can someone translate this function Matlab, a Procedure of maple.
I dont really know Matlab syntax.  syntax.svd_visualize.zip . It was taken from

Gracias 

map(x-->x^2,x+y)   the ruslt is  x^2+y^2,why it's not (x+y)^2 ?

Hi,

I'm recently searching for  a way to do QFT on Maple 12(Windows) or 13(Linux).I found a relevant Q and ans/comments  almost 3 years old(nov 04,2007)-thanks to doris sanchez,John Fredsted & other contributors.There, Mr. Fredsted gave 3 links to download  3 add-on Maple packages.I found those helpful & downloaded those 3 packages(thanks to their authors & Maplesoft).

Now,I'm getting to the point:

Prob-1)Releated to the "FeynmanGraphs"...

Define a slightly messy function - in this case a sum of random Gaussians:

spikes:=sort([seq(RandomTools[Generate](distribution(Uniform(0,5))),i=1..300)]):
Spikes:=add(rand()/1e12*exp(-(Z-spikes[i])^2/2/.001^2)/(1+Z)^(5/2),i=1..nops(spikes)):

Takes no time at all to plot, or evaluate 10^3 times:

time(plot(Spikes,Z=0..5,numpoints=1000,adaptive=0));


Now put the whole thing in a procedure A(z), so that we can use A(z) as a function unless...

Hi everybody, could any one tell me " What is the job of order  round(evalhf(Digits)) ?

Amr

HEY EVERYONE,

HOW CAN I PROVE THE FOLLOWING BOTH ON PAPER AND USING MAPLE 13.

HAVING THE VECTOR A= (A1,A2,A3)

PROVE THAT

I'm doing some algebra with transfer functions, which are often written in LaPlace Transform notation, e.g. f(s) = 1/s.  One often wants to find the "gain and phase" of such, which is easy to do using the following steps:

1) Substitute "i omega" (imaginary unit, omega = frequency in radians) for s.

2) Express the complex quantity in polar (rho, phi) notation -- rho = amplitude, phi = argument (Phase).

So here's my question -- if I am developing...

Bonjour,

            voici un probleme que je suis incapable de regler!

-----------------------------------------

Développer un algorithme récursif de fouille dichotomique et l'utiliser pour trouver, dans la liste suivante:   L = { 1, 2, 4, 5, 6, 9, 11, 16},

                       i...

Hi, this is my first time here so hello! So im working on some questions my teacher gave to me in my class, and im having quite difficulty getting started on them, if anyone could help, that be great, thanks!

2. The first application of Newton’s method is to solve the equation

x

Hi,I explained my problems in the WS below,Thanks in advance.

Prob_defIntrl.mw

Hi,

I have the eq. as shown below:

2*x^3+(2*K1*nbo4+3*K2*nbo4*PH2O)*x^2+3*K1*x*nbo4^2*K2*PH2O-3*K1*nbo4^2*Ti*K2*PH2O = 0

where x is the only variable, however I would like to solve this eq with respect to x for a list of 5 different values for the constant K1 (e.g. 1, 2, 3, 4, 5), and then get an output with the 5 numerical solutions to the eq.

I have tried to make the following matrix:

K1 := [1,2,3,4,5]

fsolve(2*x^3+(2*K1*nbo4+3*K2*nbo4*PH2O...

Hello:
I need your help
How to make maple returned the following results:

R1^2/r0^2-2*R1/r0+1  factor  to (-R1/r0+1)^2

Hello. I am trying to plot a few lines in a threedimensional space in maple 14. The lines are doing what I want, bu they are all pretty ragged. Is there something like a smooth function?

Increasing the numpoints improves the situation, but my processingpower isn't big enough for satisfactory results.

Thanks a lot Ivo

The Code:
> with(plots);
display(
[implicitplot3d([y = 1/x, y = 2*x/(1+2*z)], x = 0 .. 3, y = 0 .. 4, z = 0 .. 2.5, numpoints...

I have some rather complicated equations which Maple couldn' solve analytically. So I plotted the intersect (which worked) and now I wanted to extract the data from the plot to use it in Origin. I managed to get the data with the op comand but somehow I can't use writedata to create a txt file.

In addition does anyone now how to get the length of the output array from intersectplot?

Is there a better way to get what I want?