Maple 15 Questions and Posts

These are Posts and Questions associated with the product, Maple 15

Hi, I have created over time a module with a number of procedures that are useful for me for certain calculations.

From time to time I am adding new stuff to it. Now I find that the thing has gotten long enough that (a) I need to do a lot of scrolling and (b) I forget where exactly certain procedures are in the file.

So I was trying to put in bookmarks that e.g. could carry the names of procedures, or sections of the whole thing. But Maple refuses to put more...

I have the following problem with the commands "Infinitesimals" and "InvariantSolutions". After using them to a system of firsst-order PDE's, the following message appears:

 

 Error, (in table["k"]) expected a request of prolongation w.r.t one of 2 independent variables; received a request w.r.t the (inexistent) 4th one

Does anybody know, what this message means ? I am a beginner with the commands "Infinitesimals" and "InvariantSolutions"...

Hi all,

I have been trying for some time create an animation of a 3d plot I created rotating about the z-axis in Maple 15. I tried using the usual

animate(plot3d,f(x,y),orientation=[A,10],A=0..5)

but not only does that produce an error when I try to do the same thing with an implicitplot3d function, it also doesn't work when I try to animate multiple plots in the same graph, whether implicit functions or regular plot3d ones. I am creating a model...

Hi,

I would like to know if it is possible to make Maple do the following:

Suppose you have a function dx:=1/((x1-x3)^2+(x2-x4)^2) and we want  diff(dx,x1), is there a way to obtain: *-(2*x1-2*x3)/((x1-x3)^2+(x2-x4)^2)^2 instead of -1/(x1^2-2*x1*x3+x3^2+x2^2-2*x2*x4+x4^2)^2*(2*x1-2*x3)?

Basically how to keep the denominator in a fatorized form and not expanded?

 

Thanks.

Can anyone tell me how i can compute the correct partial derivatis of this function? I need to compute the partial derivative with respect to Pj,k but since I am summing over 'j', it does not compute the chain rule properly. 

hello, everyone,
the attached pdf file contain four models, I can't get the solutions of last three models.
help, thank you in advance.

 

123.pdf


 In the following root finding code, the wn[1] is calculated as [] although it is within the specified range. would you please tell me why?

``

Dear All,

I am trying to find the exact amplitude and phase angle for the signal, with values attached using MATLAB.  BUT the phase angles doesn't make sense.  Can you guys help me in doing the FFT of the signal and find the amplitude and phase using MAPLE.   I am interested in,  fundamental component, 5th , 7th , 11th, 13th 15th, 17th and 19th harmonics with their phases.

I shall be very thankful if anyone of you can actually solve the problem.

Hi all,

I try many ways to solve the below DAEs, for example stiff=true, method = rkf45_dae, method=rosenbrock..., but my DAEs can't be solved. In different ways, there are different errors, such as "Warning, cannot evaluate the solution past the initial point, problem may be complex, initially singular or improperly set up", ""

Would you please show me how to solve the below DAEs and plot their solutions?

I really appreciate your help.

Hi all,

I have a differential equation as follows:

x(t)^2+cos(x(t))+diff(x(t), t)+diff(x(t), t, t) = 100

x(0)=2, D(x)(0) = 3;

After using "dsolve" to solve this equation, the solution x(t) is obtained.

How can we obtain the following function?

g(k) = 0kx2(t)dt

How can we plot the function g(k...


s,k,mu,sigma are parameters.k is real number

Dear All,

I need help in adding following two set of equtions in MAPLE, your help will be really appreciated:

w:=2*Pi*100:  O:=5*w

S1:=100*cos(O*t)*(cos(theta)-(1/3)*cos(3*theta)+(1/5)*cos(5*theta)-(1/7)*cos(7*theta))

S2:=100*cos(O*t)*(cos(theta-Pi/6)-(1/3)*cos(3*theta-Pi/6)+(1/5)*cos(5*theta-Pi/6)-(1/7)*cos(7*theta-Pi/6))

S:=S1+S2

Also

Addition of following two equations required pls

X1:=100*cos(O*t)*(cos(theta...

 I want to calculate successive roots of the following complex eq.

how can I set interval (?) for fsolve in the following code:

I am doing an algorithm that include a " for " loop, inside that loop in the first statement I assigned a certain matrix to a variable G and then the algorthim changes some elements in G but when the algorithm repeat the second step of the loop it uses the last resulted matrix of the previous step NOT the one that is defined in the first statement of the loop. I want it to start each step of the loop with the same value of the matrix. what should I do?

I want to get a closed form of the nth order differentiation: diff(exp(-(x+sigma)^2/(2*sigma^2)), `$`(x, n)) where sigma is a positive constate. But maple gives an unevaluated answer. Howere, if calculating diff(exp(-x^2/sigma^2), `$`(x, n)),maple gives a closed form:x^(-n)*2^n*MeijerG([[0, 1/2], []], [[0], [1/2+(1/2)*n, (1/2)*n]], x^2/sigma^2).

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