Dear all;

I hope an idea to solve the following problem.

P(n,t): probability at time t

Lambda and mu : two given parameters ( can be fixed ), and we assure mu greater then lambda

 t : time parameter ( we can say that 0<= t <=T , and T fixed ) 

 for n an integrer  greater then 1 we have the following equation

eq := diff(P(n, t), t) = -(lambda+mu)*P(n, t)+lambda*P(n-1, t)+mu*P(n+1, t);
 

for n=0, we have

ics := diff(P(0, t), t) = -lambda*P(0, t)+mu*P(1, t);

How can we compute P(n,t) ,

is there an exact solution or a numerical method to get the value of P(n,t)

Then we plot( P(n,t),t=0..100) ;

Many thinks

Dear all,

I need your help to compute the multiplicative  group generated by the following two matrices.

A :=  Matrix(2, 2, [[2, 0], [0, 1]]) ;

B := Matrix(2, 2, [[1, 1], [0, 1]]) ;

 such that A.B different to B.A

many thanks

Hi all,

I need any help for the following question:

restart;
H :=n ->sum(1/k, k = 1 .. n) ;

If you computational devices has only 16 decimal points of accuracy, does computing H(n) for n greater than 10^16 give  any information about the series;

Many thanks

Hi

I need your help, to find all possible leading behavior of the following curves as x ->infinity of the following curves  defined using the implicit equation:

restart;
with(plots);
implicitplot(x^2*y^2-2*x*y^3+y^4-y^3+x^2 = 1, x = 100 .. 1000, y = 0 .. 1000);
 

Maybe we must change the range of y or x to conclude and obtain all possibles behavior.

I hope have any idea to conclude.

many thanks

Dear all

Represent

x+(( y^(2+x) )-4)/3

as a binary tree and rewrite this expression in postfix notation

Can this quesiton be solved using maple

Many thanks