Find the general solution for the differential equation

x"(t) - 4 x'(t) + 4 x(t) = t * exp(2*t)

Hi

To find the deflection of a bar under buckling I am trying to solve a set of 10 unknowns and 10 equations, with equations like this one:

eq3 := C1*cos(P^(1/2))+sin(P^(1/2))+5*C3+C4 = C5*cos(P^(1/2))+sin(P^(1/2))+5*C7+C8

(the complete file is included)

When I try to solve the system, Maple is able to evaluate all the C's but not P. That makes sense, because P will be a solution of a transcendental equation (something like tan(x)=x) as opposed to the the C's all being linearly dependant.

Hey guys,

  Now I'm encountering another problem. I'm trying to assign a[n] as:

a[1]=1

a[n]=a[n-1]+1/2^(n-1)

I tried the following:

a:=[1, seq(a[n-1]+1/2^(n-1),n=2..10);

The result is "Recursive error".

The problem is this is a good recursive. Maple seems to simply not recognize recursive input at all.

I tried another way:

a[1]:=1

a:=[seq(a[n-1]+1/2^(n-1),n=2..10);

Result is the same.

I tried another way

a[1]:=1

a[n]:=[seq(a[n-1]+1/2^(n-1),n=2..10]

There is a Mathematica package OrthogonalPolynomials by Milovanovic sketched in facta.junis.ni.ac.yu/mai/mai19/f19-017-036.pdf
( ~ 200 kb and 20 pages). Is anybody aware of something similar for Maple?

I'm trying to do some work with a large matrix. I was using with(linalg), but I need to use LinearAlgebra now. However, if I don't use the command "matrix" (lowercase m) then I get this as an output:

Hi there.

I am having a little bother plotting a phase portrait of the following system:

DEs := [diff(u(t),t)=-a*u(t)+v(t), diff(v(t),t)=u(t)^2/(1+u(t)^2)-v(t)];

where 'a' denotes any real number.  I am trying to draw the phase portrait but I have know initial conditions. 'a' must also be from -0.5..0.5.

Any hints/tips would be greatly appreciated.  Thanks.

Hi

I need to evalaute the Lauricella function of type F_A  for arbitrary value of   n , say around 2 to 10 or so. I think maple does not provide the ready function for the same and its is restricted to single variable series. Is there any method for computing the Lauricella functions in maple?

Thanks for any help

Vish

where can i get a german language pack? is one available?

I recently got my copy of maple in the university, but i cant choose german as my language.

To make everything a little easier (cause im new to maple), i was trying to find a language pack.  I hope there is a pack for download anywhere.

Thanks for your help.

Julian

Hello there, I have a problem solving the differential equation based on decomposition method. There are 3 operator which is N, R, G and u. N=4, g=-77, R=79. Below is the procedure, and yet there is an error at the last end statement. Please help asap.

Why does a^(3/2)*(1/a)^(3/2) not return 1 in maple? Sorry for the basic question, I'm just not sure what I'm missing.

I'm supposed to use a CAS to integrate (4*v*(m/(2*Pi*k*T))^(3/2)*Pi*v^2)*exp(-m*v^2/(2*k*T)) for v from -infinity to infinity. I know the answer should be sqrt(8*k*t/(Pi*m)), but I can't seem to get Maple to evaluate the limit once it integrates the expression. Any help is greatly appreciated. Let me know if I need to provide more information, I'm a bit new to the forums :)

Hi

I found the roots of a polynomial t^6+t^3+1 by hand, now i want to see if these values in the form exp(a*I/(b*Pi)) satisfy the polynomial, how can i do this?

Hey all. I'm looking at trying to generate a complete list of all maps from the integer plane to itself that have a maximal coordinate change (plus or minus) of n. Basically, I devised two wave functions that travel componentwise around the 8*n points d_inf=n from the origin, and am trying to use them to list every single equivalent map with such a metric-distance, from a point (x,y). Listed here is my current code, the problem I have on execution is that the i terms evaluate to that name as opposed to the assigned value.

Hi there

i'm trying to plot the phase portrait of a 2nd order ODE and i just cant get those damn arrows to come up. i've managed some solution curves but i'd like to see the phase portrait and maybe make an animation to see how it changes but i'll worry about that once i can get the arrows.

Dear all:

    I want to plot a function(say, z=x^2+y^2) on a nonsqure region(say, x^2+y^2<=1). What I did is to manually define a procedure so that it returns the function value if the sample point is inside the defined regioin, null otherwise.

region:=proc(x,y)
  if x^2 + y^2 <= 1 then
      return x^2+y^2;
   else
      return null;
   end if:
 
 end proc;