hello every body

how can i solve this equation with respect to z

a, b are constants

3a(1+z)^2=2(a(1+z)^3+b)^(1/2)

Dear experts, I have problems about "subs", see below

> restart:

> assume(A>0): interface(showassumed=0):
> f:= A^2-2*sqrt(A^2+1)+1;

Now I want to replace A^2+1 to M^2, so idealy, what I want to see is

M^2 + M

When I do:

> f2:= subs(A^2+1 = M^2,  f);

Maple shows 

A^2-2*sqrt(M^2)+1

Maple cannot replace A^2+1

I need to define a tridiagonal matrix in maple in such a way that

[b(1) a(1) . . . . .      . . . . . . .  . 0]

[a(2) b(2) a(2) 0 0 .  . . . . . . . . .0]

[0  a(3) b(3) a(3) 0 0 0 .     . . . .0]

[0 0     a(4)  b(4) a(4) 0 0  .       . 0]

[0 . . . . . . . . . . . . . . . . . . . . .  . .]

[. . . . . . . . .a(m-1) b(m-1) a(m-1)] 

I have a very large system of rather long equations.   I need to find a way to have maple recognise if two equations within the system are the same.  I've been attempting to do this by adding each of them to the same set.  Maple automatically eliminates two identical entries in a set, so this works quite well for, say, x+y=0 and y+x=0 - maple knows these are the same and deletes one from the set automatically.  However it does not recognise that x+y=0 is the same as 2x + 2y = 0.

I have been told that dsolve solves a second order differential equation by making two coupled first order equations.

Could someone please explain to me the reason that this is done?

The verticies are of a 4x4 square, 16 in total.  You may cross a verticie only once, and you can move horizontally, vertically and diagonally.

Lets label the verticals  a,b,c,d and from bottom to top 1,2,3,4.  How would you find all the routes with a travel length of 6?

Hello all,

I have the state-space form of a dynamics sytem:

X_dot = AX+B.U

Y= C X,

The initial conditions of the outputs (Y0) are also given.

A is 7x7 known matrix,

C is 14x7 known matrix,

B = 0;

The problem is that it's too long to write down every equations (14+7 eqns) and variables in "dsolve" function

Would you please show me the shorter way to solve a very large state-space system?

I really appreciate your help.

Hi all,

I have the following equation: A.X = Y

A is a 14x7 known matrix, Y is a 14x1 known matrix, and X is a 7x1 unknown matrix Would you please how to find the solution X of this equation in Maple.

Thank you so much,

STH

PS: I attached matrices A and Y in this post
A.txt
Y.txt

I have a list L. In geom3d, I want to write all tangent of plane of the sphere S from L. But I don't know. I only write one point . I tried 

> restart:

with(geom3d):

L:=[[-5, -5, 8], [-5, -1, 10], [-5, 3, 10], [-5, 7, 8], [-5, 8, -5], [-5, 8, 7], [-5, 10, -1], [-5, 10, 3], [-1, -5, 10], [-1, 7, 10], [-1, 10, -5], [-1, 10, 7...

well am confuse because of my scheme which is 

(1-3r)U[i-1,j+1] +2(2-3r)U[i,j+1] +(1-3r)U[i+1,j+1]= (1+3r)U[i-1,j] +2(2+3r)U[i,j] +(1+3r)U[i+1,j]

now problem here is coefficients with U.. they are not similar on both sides so please can u let me know code about this...now here how can i generate matrix of oder n x n using this scheme...thanks

Dear Maple Users,

I do need to find the intersection of two surfaces which defined by two equations eq1 and eq2, (see attached file).

There was similar question on the MP: 
http://www.mapleprimes.com/questions/127821-How-To-Plot-The-Intersection-Of-Three-Surfaces

, but that doesn't work in my case. And I can't understand why....

Hello everyone,

I am trying to execute a procedure but its not giving me the desired output.

Please have a look.

Ad_proc.mw

Thanks

Hi,

Quite often, the result Maple gives involves exponents.

For example:

0.26/0!*e^-0.26.

When I use "evalf", "simplify", or right-click and select "approximate," I always obtain a fraction with e^13/50. How an I get a numerical approximation!

Thanks!

Hello everyone,

I have owned Maple since I began post-secondary in 2010 and have not used it until recently.

What is the easiest way to calculate problems involving random variables?

For example, if is a Binomial(10,0.5) random variable, what is the probability that X = 3?

I found tutorials, but these used graphs, and all I want is a short and sweet way to identify the type of random...

I'm using maple 14 on a win7 2.8gHz 4gb laptop and over the past 2 days my maple has fallen appart, i'm trying to print a worksheet that is only 5 pages and not especialy complicated but maple's memeroy usage is exploding up to 400mb, or 1.3gb if i actually run the code. I need to print the work sheet and it just spent half an hour "spooling" i don't know what is causing maple to go haywire