For questions involving the application of the program Maple to mathematics. NOTE: questions which focus primarily on the program Maple and not on its applications to mathematics are not appropriate for this site.

learn more… | top users | synonyms

3
votes
1answer
162 views

How to evaluate the integral $\int_{1}^{\infty} x^{-5/3} \cos\left((x-1) \tau\right) dx$

I would like to evaluate the following integral: $$\int_{1}^{\infty} x^{-5/3} \cos\left((x-1) \tau\right) dx$$ I get the Integral by Maple and it gives the Lommel function. After that, I will search ...
1
vote
0answers
109 views

system of non-homogeneous advection equations

I would like to solve this system \begin{equation} \left\{ \begin{array}{lll} u_t+b_1 u_x=(r+l_1)u-l_1v,\\ v_t+b_2 v_x=(r+l_2)v-l_2u,\\ \end{array} \right. \end{equation} First , I would like to ...
8
votes
3answers
546 views

is there a name for this function (parity of a finite sequence)?

Variants of this question have been crossposted to Stack Overflow and Computational Science Stack Exchange. Additional answers may be found at these other sites. Math people: In an attempt to ...
4
votes
3answers
639 views

How to compute Nullspace on maple?

I have the matrix $$A := \begin{bmatrix}6& 9& 15\\-5& -10& -21\\ 2& 5& 11\end{bmatrix}.$$ Can anyone please tell me how to both find the eigenspaces by hand and also by using ...
2
votes
2answers
2k views

How to define a recurrence relation in Maple?

I'm new with Maple and want to define a recurrence relation. I want to 1) have Maple solve it to the explicit formula 2)have Maple output a few evaluations of it for various values of ...
2
votes
0answers
63 views

Zeilbergers algorithm in Maple

I try to prove several hard combinatorial identities. One of them is following \begin{align*} \sum_{s=0}^{\min\{k,n-1\}} \sum_{i=0}^{k-s} (-1)^{i} {2n+k-i-1 \choose k-s-i} {i-n \choose s} {n+i-1 \...
1
vote
1answer
530 views

Numerical values of the Jacobi elliptic function sn: Wolfram Alpha vs. Maple vs. C++?

I have a problem to check the validity of an algorithm I've implemented in C++ to compute the Jacobi elliptic function $\mathrm{sn}(u, k)$ (inspired and improved from Numerical Recipes 3rd edition). I ...
1
vote
1answer
603 views

Newton Divided Difference Method of Interpolation in maple

Does anyone know how one can do this in maple? find Newton divided difference interpolation polynomial for the function cos2x the points {1, 0.6, 0.3, 0.1, 0}
1
vote
2answers
608 views

secant method in maple

secant method in maple. Find a root of the statement $x^3-3x^2+4x-1=0$ with the initial value $x_0=0$ and $x_1=1$ with 5 digits point approximation.
1
vote
1answer
786 views

Plotting Streamlines Maple

I wonder if anybody could help with this. I've been asked to plot the streamlines of the complex potential $\Omega(z)=Uz + \frac{m}{2\pi}ln(z)$ to which I get the stream function $\psi(r,\theta)=rUsin\...
1
vote
2answers
164 views

Finding Blowup of an ODE with maple

I've been interested in finite blowups of odes lately. I'm looking for a good way to calculate blowup times in maple. Right now all I do is to use dsolve, plot the ode, and then look where the ...
0
votes
1answer
471 views

Application of the Backward Euler method to the DE …

I'm having trouble solving this question below and would like to have some help: Apply the Backward Euler method to the differential equation: $y' = -20y + 20\cos (t) - \sin (t)$, $0\leq t\leq 2$, $...
0
votes
2answers
76 views

Difference between two real roots with uniformly distributed coefficents

I have a question that first I need to know what is happening, but then I also need to code it in a program called APPL, which is an extension from Maple18 that I really have never used, yet I have ...
0
votes
1answer
117 views

Parametrization for implicit function

$3y^2=x(1-x)^2$ By differentiation we can knwo that the sketch of this graph has one circle. I want to draw a graph in maple. Implicit plot does not work well So I will use parametric way. ...
0
votes
3answers
129 views

Does MAPLE not simplify correctly or am I goofing?

While attempting to answer this question with help of MAPLE, something very strange happened, at least according to me. We have the following function: $$ \phi(x,y) = x^2-y^2+\frac{x^2-y^2}{(x^2+y^2)^...
0
votes
1answer
292 views

Isolate terms within an equation in Maple

Is it possible to automatically (from command line, or using select and then the menu from right-click of the mouse) to isolate specific terms in an equation withn maple? Hier is a very simple simple ...