MaplePrimes Questions

Hi 

In trying to solve:

 a := diff(u(t), t$2)+(p^2-I+t^2)*u(t) = 0;
I get the following solutions,              
sol1 := u(t) = _C1*WhittakerM(-1/4-(1/4*I)*p^2, 1/4, I*t^2)/sqrt(t)+_C2*WhittakerW(-1/4-(1/4*I)*p^2, 1/4, I*t^2)/sqrt(t)        
 
It should be possible to expand these into parabolic cylinder functions and but im not sure how, i would appreciate any help.
thanks

Hi I have three differential equations: 

u := diff(P(t), t) = -7*10^(-8)*P(t)*t/(P(t)*t+R(t))^(1/2),

diff(R(t), t) = 7*10^(-8)*t^2*P(t)/(P(t)*t+R(t))^(1/2)+600*(Z(t)^2-10^5*t^3*(1/(1.15*10^12))^(2/3)*e^(-1.15*10^12))/(t*(P(t)*t+R(t))^(1/2)),

diff(Z(t), t) = -4*10^5*(Z(t)^2-10^5*t^3*(1/(1.15*10^12))^(2/3)*e^(-1.15*10^12))/(t^2*(P(t)*t+R(t))^(1/2))

 

and i want to solve them with initial conditions:

initial := R(0) = 0, Z(0) = 0, P(0) = P;

Hello and thank you in advance,

I am used to Mathematica and am looking to switch, conditionals in Mathematica seem easy, like say

 

  If[0 < z && -6 <= y <= 6 && 0 < x < 1             ,Null             ,Return[0]];

 

How do you replicate this in an easy to read way without lots of nested if statements?

hi 
am writing code and i need to  insert a column vector in maple  of n x 1 order. For specific n i know how to insert it but what if we want for n rows


May be some loop is used or some other commands.

Hi,

 

r:=[3,3,3,3,4,4,4,3,3,3,3,3,3,3,3,2,4,3,1];

 

What's the shortest way to create a frequency table from it?

 

Ie, tells me elements are 1,2,3,4

the corresponding counts are: 1,1,13 and 4

and then if it can return the number with highest counts: 3

Many thanks!

Casper

given differntial equation with boundary conditions.

{f'(x)}^2 - f(x)f''(x) = f'''(x) - 100 * f'(x) - 0.001 * [2 * f'(x) * f'''(x) - f(x) * f''''(x) - {f''(x)}^2] = 0

boundary conditions:

f(0)=0,  f''(0)=0,  f'(1)=1,  f(1)=0

how i will calculate this?

I want to find a triangle with the vertices A(x1, y1, z1), B(x2, y2, z2), C(x3, y3, z3) knowing that the point G(1,1,1) is centroid of the triagle ABC and x1, y1, z1, x2, y2, z2, x3, y3, z3 are integer numbers, but I can not find. How do I tell Maple to do that? 

Hellow, can any body give the suggestion regarding multiple plot in array

i have 

V:=(2*x+3*gamma)*y^2

d0:=subs(x=0.1,gamma1=0,V):
d1:=subs(x=0.1,gamma1=2,V):
d2:=subs(x=0.1,gamma1=4,V):
plot([d0,d1, d2], y=0..0.1,  legend = ["gamma = 0", "gamma= 2","gamma= 4"], titlefont = ["ROMAN", 15], labels = ["y ", "v"], labeldirections = ["horizontal", "vertical"], labelfont = ["HELVETICA", 10], linestyle = [solid, longdash,dashdot],color = [black, red,green], axesfont = ["HELVETICA", "ROMAN", 8], legendstyle = [font = ["HELVETICA", 9], location = bottom],axes=boxed);

 
and 
e0:=subs(x=0.5,gamma1=0,V):
e1:=subs(x=0.5,gamma1=2,V):
e2:=subs(x=0.5,gamma1=4,V):

 
plot([e0,e1, e2], y=0..0.1,  legend = ["gamma = 0", "gamma= 2","gamma= 4"], titlefont = ["ROMAN", 15], labels = ["y ", "v"], labeldirections = ["horizontal", "vertical"], labelfont = ["HELVETICA", 10], linestyle = [solid, longdash,dashdot],color = [black, red,green], axesfont = ["HELVETICA", "ROMAN", 8], legendstyle = [font = ["HELVETICA", 9], location = bottom],axes=boxed);

 
I want to display  this side by side  i,e set {do,d1,d2} and {eo,e1,e2} 

 
 thanks in advance


 
 exa.doc

Hi, I am trying to plot a solution curve on a vector field with an initial condition of y(0)=0 and I keep getting error messages. This is what I have so far:

 

with(DEtools); dfieldplot(diff(y(x), x) = x^2+y(x)^2-1, y(x), x = 0 .. 5, y = -1 .. 5, arrows = line, title = 'Slope*Field');

 

Thank you. 

Greetings,

I have a finite Fourier series of the form, Asin(x)cos(z) + Bsin(2x)cos(z) + Csin(3x)cos(2z) +... I would like to be able to extract the coefficients, A,B,C etc., that correspond to a specific mode. I have tried using the coeff and coeffs functions. They work for a one-dimensional Fourier series (i.e. if S= Asin(x) + Bsin(2x) + Csin(3x); is my series, then coeff(S,sin(2x) returns B). I cannot however get this to work for the 2-D case. Any suggestions?

Hello, I'm currently trying to approximate the solution of a PDE with Maple, but I'm having troubles with the boundarie conditions .
For instance, when I set : (dT/dr)(r=3,t) = 0 , everything works fine .

With (dT/dr)(r=3,t) = -T(r=3,t), it's still okay .
But if I set (dT/dr)(r=3) = -T(r=3,t)^4, Maple just ignores the second member and works as if it was 0 . There is no error notification, but I don't get a satisfying solution ..

I've several versions behind but I getting a strange behavior. I created an assignment using the eco0 question bank. Later this assignment was passed to a class a semester later. The question bank eco0 was updated. As the instructor, using the review button on the assignment shows the new version of the question bank. As a student, the assignments are getting the old question bank question.  The students didn't start the assignment until after the questionbank change.(I think I'm using version 4.0.) 

I have occasionally a need to map a function over the components of an expression; but not just at the top level---which map() does---but to an arbitrary level. One application is e.g. to throw simplify at subexpressions of a complicated object. Sooner or later I will want to specify the deepest level also... I looked through the docs and Help but could not find anything like that. I had expected map[n]() to do something like this, but it does not.

Does Maple have a...

Dear Maple users

We are using Maple at our school. Usually activation with the Activation code works well if the computer has a good connection to the Internet. Our data instructor have however experienced a problem with two computers he cannot seem to solve. He is not able to activate Maple 16 on those computers. After a failure in activation he even reset the license.dat file. Maybe someone have an idea to how we can get those computers activated and what the problem...

I need the button that will change the content (list) of a ListBox. When I create such Maplet, ListBox behaves very strange! The ListBox sometimes shows the list after the button click, but sometimes the list disappears. 

The code below reproduces this strange behavior. Just click the button several times.

 

with(Maplets[Elements]):

getObjects := proc()
local testList;
use Maplets:-Tools in
testList := ["YAHOO", "YAHOO", "YAHOO", "YAHOO", "YAHOO", "YAHOO"];...

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