Maple 16 Questions and Posts

These are Posts and Questions associated with the product, Maple 16


Assume having to solve an ode with dsolve and plotting with odeplot. Further, markings at specific parameter values of the solution should be plotted, i.e. if p is the solution of the ode, the points p(t1), p(t2), ... should be plotted. Since the ode is complicated and computation takes a lot of time, is there a way to extract the values p(t1), ... from the odeplot result directly without invoking calls like subs(p(0.5),b(s)) again?

Hello every one,
I got an error while trying to solve numerically a nonlinear system of odes using 
the dsolve command. This error is very common,
"Error, (in dsolve/numeric/bvp) initial Newton iteration is not converging".
I tried the different technique explained in

Regards, I am conducting independent research in my university and I was recomended to use this software but since I am more familiar with matlab it feels harder to use maple and I'm making many mistakes.

My question is how to solve the following equation w(xi) = a_0 + a_1 * xi + a_2 * xi^2 + a_3 * xi^3 + a_4 * xi^4

So I defined xi = x/L

and gave some boundary/initial conditions for this equation(don't know if this is right)

w(0) = 0 : w(L...

Trying to create multi-dimensional geometric brownian motion by using:

W := GeometricBrownianMotion(Vector(N, 1), Vector(N), B.B^%T);

but receive the following error message:

Error, (in Finance:-GeometricBrownianMotion) invalid input: ProcessOptions expects its 1st argument, x0, to be of type realcons, but received Vector(2, {(1) = 1, (2) = 1})

The vectors and B.B' matrix are fine, because

W := BrownianMotion(Vector(N, 1), Vector(N), B.B^%T);

Problem 1

A furniture manufacturer knows from experience that the cost of payroll and maintenance to run your shop s hours is a function of number of hours, s. The shape of the cost function in dollars and time in hours, C (s), determined by the manufacturer is:

C (s) = piecewise (s <16 and 0 <s,-s 3 +24 * ** ** 2 +20,16 s <= s, s * 20 +1748);

a) Define a function arrow that represents the cost of the manufacturer as a function of the operating...

I used Maple to calculate the Smith form of a 24 by 36 matrix.  

1. How can I find the column operations so that I can apply them to the identity matrix and obtain the change of variables matrix?  

2. If I can't find the column operations then is there a way to have Maple do the same column operations on the identity matrix that it used to find the Smith form of the 24 by 36 matrix?

Recently, I published the following paper.

"Calibration of a radiocarbon age", Nonlinear Processes in Geophysics, 19: 345–350 (2012).

The paper explains that all radiocarbon dates are inaccurate, due to an error in the handling of the statistics.

The paper has a Supplement, which includes a program to do the statistics correctly:

With a given set of pairs S:={[1, 1], [2, 1], [2, 2], [3, 1]...} and a procedure f:=proc(x,y) that has two input variables how can I execute the procedure for each pair in S? Thanks,

I found some old Maple 6 worksheets that I wrote in 2003 and I want to see what's in them and probably transfer at least some of the content to new worksheets.  Most of them I can view just fine with Maple 16 standard interface but at least one of them comes out looking like all of the lines have been printed on top of each other --- completely illegible.  Now I can read the worksheet using Maple classic interface on my machine at home, but both of my machines at...

This question was asked before but because of the curiosity, I 

bring it in the light again. We have a system of odes


a := 1; b := .5; d := 1; omega := .4; h1 := 1+a*cos(x); h2 := -d-b*cos(x+omega);

F := Q-1-d;

de:={alpha*(diff(f(y), y, y, y, y))+G*(diff(theta(y), y, y))+B*(diff(phi(y), y, y))

+6*beta*(diff(f(y), y, y))*(diff(f(y), y, y, y))^2+3*beta*(diff(f(y), y, y, y, y))*

(diff(f(y), y, y))^2 = 0,

Hello every one,

I am trying to solve a system of 5 odes numerically but I get an error

"unable to convert to an explicit first-order system".

Please have a look and guide me through the problem.


Hi, I am creating a plot to demonstrate symmetry about the y=x axis, and I want to show that the line segment connecting two points is the perpedicular bisector of the line y=x. I have plotted y=x, the two points, and the line segment connecting those two points. How do I plot the perpendicular symbol (or right angle symbol) that is connected to the lines and shows that they are indeed perpendicular?

What is different between semicolon and colon? And give for an example..

1) Define 3 x 3 matrix M first by generating a random matrix using RandomMatrix(3,3generator=1...9) such that the row reduced form reveals one free variable and then letting M equal this matrix. If you set M equal to the Random Matrix command, it will generate a different matrix every time. You do not want to this happen 2) using the matrix A that you defined in problem 1, define a vector b such that the matrix equation Mx = b can be solved and find it's solution.

Define nonsquare matrices A and B and a vector c such that following operation can be perform and perform the operation: A) A + B B) ( A - B)c C) define another vector c such that BV can be computed and computed D) solve the system of equation Ax = 0

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