MaplePrimes Questions

Hi!

I am quite new to Maple and have a problem I've been struggling with all day.

I have a spring pendulum and have to develop the equation of motion in the y-direction. The pendulum consist of a mass at the end of a elastic, unbendable and massless rod. 

Please find my Maple-worksheet attached below.

How do I solve the differential equation 2.9 for y(t)? As far as I can see the problem is that I have to differentiate y(t), which is not designated as a function, with respect to y (?)

I would really appriciate if somebody could help me. 

Thank you in advance!

Hi there,

I'm doing my first steps with Maple and am a little confused with a problem:
I want to solve something like

and expect the result to be z=-m*a. However I get empty brackets as result.
I tried to dig a little and I find that maple has problems isolating x1+x2+x3+x4


Error, (in isolate) x1*a+x2*a+x3*a+x4*a does not contain x1+x2+x3+x4


 

When I isolate it myself Maple even tells me they wouldn't be the same


false

I even reduced the problem to x1*a+x2*a and Maple still has problems with that. As this is a really simple problem I strongly assume the issue lies with the user. Can anyone help me there?

Thanks

 

 

Dear 

I need to add animations in a word(.pdf) docuement or a pwerpoint presentation. I Saved my image as .gif and inserted it in my doc but it is an image (no animation)

 

 

Thanks

Fairouz

Hi!

I am new to Maple and have a problem I've been struggling with all day.

I have a pendulum and need to find a equation of motion in the y-direction. Please find my code in the picture below.

I can see that my problem starts at Eqy where the differentiation deletes one of the right-hand-side parts because I don't have any function y(t), and Maple thinks y(t) a constant (?)
Can somebody please tell me what I'm doing wrong?

 

Thank you in advance!


I need create a matrix with 3 dimensions, but I don't know how can I do this. The variable that I need store could be write in this form:


>S[i,j,k];

I don't want write this with subscript but like a matrix. 

I have seen many post with similar question, but I have yet understood how to solve this problem.

I have a contour which maple creates for using command contourplot. 

The problem is that I don't know what is the value of different colors. How can I find out for example what red means?

Is there anyway we can automatically have a color bar with the proper values?

I have Maple 14 on a macbook pro. I recently upgraded to the Yosemite operating system. 

 

I am trying to use the CurveFitting facility:

with(CurveFitting):

But I get nothing. This might be associated with Yosemite, or maple 14, or ????? Anyone have a guess?

In order to use efficient exponentiation modulo a number n, Maple help recommends using the inert &^ notation in the input, e.g. 5 &^ 1000 mod 29. But when I try to type this input in (default) 2D-Math mode, it interprets the ^ as it usually does for exponents and tries to "raise" the & to the power of 1000. Is there a way to do this correctly in 2D-Math, or do I constantly have to switch over to 1D-Math? I am using Maple 16. 

Hi,

I want to conduct the t- test with a

- null hypothesis of : M1-M2 >= 0

- alternative hypothesis of M1-M2 < 0

I found that I can choose the upper or lower tail option for the alternative hypothesis but I am not sure if the same as I want 

any idea ?

Hi Maple friends.

I created this table using the table component from the componwnts palette. But I can't plot it - Maple just plots the second column as horizontal lines. I want the first column to be the x values, and the second column to be the y values. How can I plot it? 

Also, the table component automatically generates the the incremental values starting from 1, so I only need to create a 1 column table. But how can I plot the table, using the auto generated values?

Thanks in advance.

EDIT: There is a 'embedded plot window' component, which may somehow plot data in the table component, but I can't get it to work. I've tried dragging the table component into it with no succes.

 

Thanks

Hello!

I'm trying to solve a differential equation of the form y.y"+y'+y= { 1 for 0<x<1 and 0 for else } with conditions: y(0)=0 and y'(0)=1.

I wrote this:

f(x):=heaviside(0)-heaviside(1);

Eq := y(x)*(diff(y(x), x, x))+diff(y(x), x)+y(x)-f(x);

ans := dsolve({Eq, y(0) = 0, (D(y))(0) = 1},numeric);

But it gives an error.

I also tried ODE tools>assistants>analyzer

It says: the ODE system does not contain derivatives of the unknown function heaviside.

 

It's the first time I use Maple and I don't know what to do. Need your help urgently. Thanks in advance.

 

Hi all,

I have an expression of the form Sum(a[l]*x^l,l=0..n).

Is there a shorter way to obtain let's say the 5 lowest orders than add(coeff(expression,x,l)*x^l,l=0..4) ?

 

Cheers

NOh

Hello,

I have been trying to compute the analytical solution of two dimensional diffusion equation with zero neumann boundary conditions (no-flux) in polar coordinates using the solution in Andrei Polyanin's book. When I use 2d Gaussian function as initial condition, i cannot get the result. If I use some nicer function like f(r,phi)=1-r; there is no problem.  

Any idea why this happens? or any suggestion to compute the analytical solution?

Thanks!

HB 

M := Matrix([[3.83170597020751, 7.01558666981561, 10.1734681350627, 13.3236919363142, 16.4706300508776], [1.84118378134065, 5.33144277352503, 8.53631636634628, 11.7060049025920, 14.8635886339090], [3.05423692822714, 6.70613319415845, 9.96946782308759, 13.1703708560161, 16.3475223183217], [4.20118894121052, 8.01523659837595, 11.3459243107430, 14.5858482861670, 17.7887478660664], [5.31755312608399, 9.28239628524161, 12.6819084426388, 15.9641070377315, 19.1960288000489], [6.41561637570024, 10.5198608737723, 13.9871886301403, 17.3128424878846, 20.5755145213868], [7.50126614468414, 11.7349359530427, 15.2681814610978, 18.6374430096662, 21.9317150178022], [8.57783648971407, 12.9323862370895, 16.5293658843669, 19.9418533665273, 23.2680529264575], [9.64742165199721, 14.1155189078946, 17.7740123669152, 21.2290626228531, 24.5871974863176], [10.7114339706999, 15.2867376673329, 19.0045935379460, 22.5013987267772, 25.8912772768391], [11.7708766749555, 16.4478527484865, 20.2230314126817, 23.7607158603274, 27.1820215271905]]):

c := 10:

A := 5:

w := proc (r, phi, t) options operator, arrow; int(int(f(xi, eta)*G(r, phi, xi, eta, t)*xi, xi = 0 .. 5), eta = 0 .. 2*Pi) end proc:

with(plots):

Warning,  computation interrupted

 

``



Download 2d_soln.mw

With your help I have a solution to a system of three equations:

(parameters are calculated on the basis of the data (for different values) - one example below)
A1=0.00002072968491, A2=0, A3=0.001946449287, A4=0.01946449287

B1=, B2=0, B3=0.0004773383613, B4=0.00004773383613

C1=, C2=0, C3=, C4=0.00009087604510

 

eqa1: = A1 * (diff (Tg (x), x, x)) + A2 * (diff (Tg (x), x)) + (A3 + A4) * tan (x) + A3 * Tg (x) + A4 * Tw (x) = 0;

eqa2: = B1 * (diff (Tw (x), x, x)) + B2 * (diff (Tw (x), x)) + (B3 + B4) * Tw (x) + B3 * Tg (x) + B4 * tan (x) = 0;

eqa3: = C1 * (diff (Tz (x), x, x)) + (C3 + C4) * Tg (x) + C3 * tan (x) + C4 * Tw (x) = 0;

 

indets ({eqa1, eqa2, eqa3}) minus {x};

res: = Dsolve (eval ({eqa1, eqa2, eqa3}) union {boundary conditions ??}, numeric);

 

for k from 0 to 20 evalf (res (k), 4); from;

c1:= 0.524:

c2:=0.05:

m: = 0;

for m from 0 to 20 and

T (m): = c1 * rhs (op (6, res (m))) + c2 * rhs (op (2, res (m))) + (1-c1-c2) * rhs (op (4, res (m))); print (m, T (m)); end to:

 

How and what type boundary conditions (I was thinking about the simplest or third type) to be able to determine the values on the y-axis on the graph. For example, the values started at -10, and ended at 10 (at a point (x, -10), (x, 10) in the coordinate system for a predetermined x, for example, from 0 to 20 which start at the point (0, -10 ) and stop at the point (20,10)). My main purpose is to collect these three solutions  to one equation T (x) = az * Tz (x) + and * Tw (x) + ag * Tg (x), and the ends of the graph, they should be in the above-mentioned points (0, -10 ) - start and (20,10) - stop.

 

Now thank you very much for the advice.

Ewa.

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