I know the Wronskian command. I want to use this command for detecting linearly dependence or independence of some polynomials. I know that the polynomials  are  linearly independent if the Wronskian is not zero.  Conversely, if the Wronskian vanishes  then the polynomials are linearly dependent. Now I want to know that how can I find the coefficient vector if the polynomials are dependent by Wronskian command?

For example if [f1,f2,f3] be a list of polynomials s.t. a1f1+a2f2+a3f3=0. How can I find a1, a2, a3? 

Last month, we received a very kind note from a recipient of one of our sponsorships. Maplesoft sponsors several academic and commercial events throughout the year, providing free copies of Maple or MapleSim to lucky attendees. Audrey was one of the winners of the Elgin Community College Calculus Contest, where she won a copy of Maple. Here’s what she had to say:

Thank you so much for the Maple license.  I have become familiar with Maple during the last school year.  At first the commands were like Chinese to me and I had a rough time getting anything done, but once I made a connection between the commands and what they were doing it was a lot easier.  Even without former knowledge of computer programing, the commands are increasingly intuitive.  Maple has been a huge help to me doing my homework and projects, and even as I was studying for the competition it was useful for checking my answers.  Another reason that I love Maple is that it provides visuals for the difficult concepts we learned in class, such as shell method in Calc II and mixed partial derivatives in Calc III.  I enjoy math, but I thank that Maple has enriched my experience along the way.

Thank you again for your generous gift, 

~Audrey~

It’s always nice to hear how students and professionals alike are succeeding with the help of Maple. If you’d like to share your experience, please send an email to customerservice@maplesoft.com or post it here on MaplePrimes.

hi,

how can I convert the decimal representation of the symbolic expressions: I dont want the result in terms of symbols like e^5 or ln(3) 

thanks

Hi,

I have a system of nonlinear equations in conjuction with boundary conditions, as below:

(all coefficients are constant.)

dsys3 := {a2*(diff(f1(x), x, x))+a3*(diff(f2(x), x, x, x))+a4*(diff(f2(x), x))+a6*(diff(f3(x), x))+a7*f1(x)+a1N*(diff(f3(x), x, x))*(diff(f3(x), x))+a2N*(diff(f3(x), x))*f3(x)+a3N*(diff(f3(x), x))*f3(x) = 0, a8*(diff(f2(x), x, x, x, x))+a9*(diff(f2(x), x, x))+a10*f2(x)+a11*(diff(f1(x), x, x, x))+a12*(diff(f1(x), x))+a13*(diff(f3(x), x, x))+a14*f3(x)+a4N*(f3(x)*f3(x))+a5N*((diff(f3(x), x))*(diff(f3(x), x)))+a6N*(diff(f3(x), x, x))*f3(x) = 0, (diff(f3(x), x, x, x, x))*a16+(diff(f3(x), x, x))*a18+(diff(f3(x), x, x))*a19+(diff(f1(x), x))*a22+(diff(f1(x), x))*a23+(diff(f2(x), x, x))*a24+f2(x)*a25+f2(x)*a26+f3(x)*a27+f3(x)*a29 = 0, f1(0) = 0, f1(1) = 0, f2(0) = 0, f2(1) = 0, f3(0) = 0, f3(1) = 0, ((D@@1)(f2))(0) = 0, ((D@@1)(f2))(1) = 0, ((D@@1)(f3))(0) = 0, ((D@@1)(f3))(1) = 0}:
dsol5 := dsolve(dsys3, 'maxmesh' = 500, abserr = .1, numeric, range = 0 .. 1, output = listprocedure)

but i encounter an error as:

Error, (in dsolve/numeric/bvp/convertsys) unable to convert to an explicit first-order system

what is your suggestion to solve this nonlinear equations?

Thank you.

Hi everyone,

I have a great problem with the evaluation of following definite integral

> restart;

> int((t-x)^2)/(1+2t+(1/2)t^2-ln(t^2+2t+2)t-ln(t^2+2t+2)+arctan(1+t)t^2+2arctan(1+t)t+ln(2)t+ln(2)-(pi/4)t^2-(pi/2)t)^2,t=0..x)

I have tried different classical commands but Maple doesn't give an answer. Probably, it's just a silly fault.

Does anyone knows how to solve it?

Thanks.

Is it possible to make scatter-histogram plots in Maple13 like these

http://stackoverflow.com/questions/6508769/matplotlib-scatter-hist-with-stepfilled-histtype-in-histogram ?

I achieved the scatter-plot, but what about the additional histograms?

Hello everyone,

How can unknown values in boundary conditions of system ODEs be determine by using shooting technique. See the work sheet here Sht.mw

Thanks.

I have a set of equations ics_i and a set of variables v_i . How do i assign each solution to the variable before solving the next equation?

I tried- for i from 1 to 3 do solved_i := solve(ics_i, v_i);assign(solved_i); end. This didn't work for me.

Hello;

I wish to express a tensorial equation or expression a simplified vector form.

In the worksheet attached, I was trying to express Maxwell Equations in the familiar vector form from the tensorial form, using the tensor.

But I cannot achieve the familiar tensor form. If someone can give a hand, it would help me a lot.

HowtoExpressCompactForm.mw

I am beginner in maple. And my field is Differential geometry. I am trying this calculation through maple.

I have these vector fields e1=z²∗D_x,e2=z²∗D_y,e3=z²∗D_z

Now I have to calculate 2g(∇_e1e3,e1) using maple. where The Riemannian connection ∇ of the metric tensor g is given by Koszul's formula

2g(∇_XY,Z)=X_g(Y,Z)+Y_g(Z,X)−Z_g(X,Y)−g(X,[Y,Z])−g(Y,[X,Z])+g(Z,[X,Y])

By calculated manually I got 2g(∇_e1e3,e1)=2g(−(2/z) e1,e1)

So help me in simplifying tedious calculations using maple. I will try to learn.

hi  for example to calculate the following

residue((Psi(-z)+Eulergamma)^2*h(z), z = 2)

gives

3*h(2)+(D(h))(2)

but it possible to write 

as( Psi(2)+Eulergamma(z))*h(2)+(D(h))(2)

so that 

and Psi(z)+Eulergamma== harmonicNumber(z-1)

the result must be

harmonicNumber(2)*h(2)+(D(h))(2)

it is possible that Maple gives explit form of the values function avoid to calculate automatic.

thanks

Hello There:

I used to display module bodies with eval with former Maple version: it seems not to work with Maple 2015: any idea ?

Thanks in advance,

Jerome

Hi all,

I am considering a scenario in which I have, for example, four matrices, A, B, C, and D, which form a basis for all of the (numerical) calculations I am doing.  (For example, A + B = i*C, etc.)  Right now, if I add A and B, I get a matrix back whose elements are i*C, but I cannot get Maple to express it as i*C.  As a simple example, let:

A = (1 0 // 0 1 )

B = (0 1 // -1 0)

C = (i i // -i i)

Then A + B returns (1 1 // -1 1); I'd like for Maple to "intelligently" give iC.  So...how can I get Maple to expand a given matrix (A+B) in terms of a particular basis (here, simply C)?

Thank you.

cheese_division.mw

3 different dia circular cheeses. same depth. minimize cuts such that its divided equaly among four people.

can be done in 3 cuts. can evem be done in 2

could some erudite richard provide maple solution to this Q. thx

reinstalled m18, i used to have an ini file, but it got deleted.

so i made a text file, called it maple.ini with the following text: 

interface(prompt=""):
e:=exp(1);
digits:=15;
HelpBGColor=255,255,224;
print("maple init loaded...");

I placed it

 C:\Program Files\Maple 18\bin.win

and

 C:\Program Files\Maple 18\lib

and

C:\Program Files\Maple 18\Users

it doesnt load when i load maple!