hi,

i've a mathe exercise with the taylor series that i did on paper. i use maple to solve my tasks but now i have a situation where i am sure that i am not wrong but maple tells me something other

my function

f(x) = sqrt(x-1)

x_o = 5

i derivated the function tree times

f'(x) = (1/2)(x-1)^(-1/2)

f''(x) = -(1/4)(x-1)^(-3/2)

f'''(x) = (3/8)(x-1)^(-5/2)

for my x_o
f(5) = 2

f'(5) = 0.25

f''(5)=-0.03125

f'''(5) = 0.011171875

Hello everyone

I have a small, yet tricky question and hope someone knows a quick answer.

A calculation gives me a vector of say 10 complex numbers (floats). I want to store the amplitudes ( abs() ) and the phases ( argument() ) of these complex values in two seperate lists. Next, I want to sort the complex numbers by ascending amplitude, but I do not want to lose the phase belonging to each amplitude, for example:

Is it possiable to create a matrix be setting the eigenvalues you wish to end up with?

I am trying to create a 3X3 random matrix with a set of repeated eigenvalues and was wondering is it's possible to set the eigenvalues and then generate  matrices for them.

I am writing a small procedure to help out some friends in a Diff EQ class and I want to print out little notes (their prof is letting them use maple on the test).  In other languages if I wanted to print something plaintext I could usually enclose them in quotation or tickmarks, or I would precede them by a backslash.

I am trying to say "implies F is equal to [crazy long function]" and I would like to use that cool little implies sign that maple has but whenever I do that I get a weird error message

The attached worksheet uses several procedures to develop a solution which is presented as a parametric plot of two procedures ("alpha" and "strain").  The current solution uses some constants declared at the beginning of the file which I would like to vary and then generate multiple plots associated with the different constants. 

I obtained the following result

> dsolve({diff(y(x), x, x)+e^x*(diff(y(x), x))+(1+x^2)*y(x) = 0, y(0) = 1, (D(y))(0) = 0}, y(x), series);
 
y(x) = 1-(1/2)*x^2+(1/6)*x^3+((1/12)*ln(e)-1/12)*x^4+O(x^5));

A procedure named curve(x) in the attached worksheet solves several equations, each dependent on the solution to the previous equation.  The problem is that when I issue the plot command for a range of the dependent variable x, the equation result that gets plotted is not for the result of the solution to the last equation for P.  Specifically, I would like to issue the "plot(curve,0.0..0.5, <other format commands>);" and get a plot of k vs. P.  Currently the plot is of k vs. P_bar.  Your comments are appreciated.

(1) Maybe the following problem is closely related to "An easily corrected limitation to symbolic derivatives in fsolve() when solving a system of equations" in TomM's blog.

(2) The problem: I would like to solve a set of equations with

     fsolve({f(x,y)=0,g(x,y)=0},{x,y},{x=-10..10,y=-10..10};

      with the procedures

I was wondering - where has the list of "my subscriptions" gone?  Has this been removed with the recent forum upgrade?

I had quite a few of the threads I use for reference bookmarked there, but can no longer find any of them.  I see a "Recent posts" under my account navigation, but that seems match the list over to the right side of active topics.

Prove that  ((sin(x)/x)^2, x=-infinity..infinity) = Pi/2

A given hint is (sin(x))^2 = (1 - cos(2*x))/2

Thanks,

rho[nu] = 4*Pi/(h^3)*Int(x^3/(exp(x/(k*T))+1), x = 0..infinity)

How can I show that the above integral equals 75*Pi^5*(k*T)^4/(30*h^3)

This is from Arfken's Math Methods for Physicists in Chapter 8.2, on the Digamma and Polygamma functions.

Please help,

getting frustrated,

very respectfully,

Can someone help me with how to use Maple's DAE solvers? See the PDF file below with my attempt to solve a system of 2 differential and 1 algebraic equation. I can't go beyond the second solution (f2,p2). What does this error message below f3 line mean? If I start from the reset line again and skip f1,p1,f2,p2, then I can get solutions (f3,p3), and (f4,p4), but not in the sequence f1,p1,f2,p2,f3,p3,f4,p4. What am I doing wrong?

Hi,

I need to copy and paste the output of maple (that usually are in blue color) into word. In fact I want them to be shown exactly in the same form that we can see in maple. Is there any way to do this?

Thanks in advance,

Ibo

I hope to plot two functions f1:=x^2 ,f2:=x; and color regions in the 2d plane where f1(x) <  f2(x).  The function plot is easy but I don't know how to plot and color regions in 2D. The only solution I can think of is to sample points and use PLOT(POLYGONS())......

Is there any other ( easier !! ) ways to do this?

Thanks

I have this system: