@Kitonum 

Thank you, Kitonum. However, it looks like this is unstable.
I tried

subs([A=1/6,B=8/15,C=3/10],A/(s+1)+B/(s-2)+C/(s+3));

in Maple 18 and I got

A similar incorrect answer I also got from Maple 13.

Thanks again!

mapleatha

@John Fredsted 

John,

Thank you for your answer. Since products like this can appear several times
in the denominator (DEN) of the Laplace transform of a 2nd order DE, I decided
to use factor(expand(DEN)) for the entire denominator. This will get rid of all
the occurrences of the complex Is in the resulting product and I can handle the rest.
Thank you again.

mapleatha

@Carl Love 

BTW Carl, I did have the with(inttrans) command all along.

Thank you.

mappleatha

@Carl Love 

Carl,

for your 1st suggestion it said:

Error, `inttrans` does not evaluate to a module

For your second suggestion, it gave me the same answer that it gave me before.
It works OK with Maple 2015, without reference to inttrans, but I prefer Maple 13, because I have my own copy.

Thank you!

mapleatha

@Kitonum 

That's just great! Thank you, Kitonum!

mapleatha

@acer 

acer,

I now believe that the problem has to do with the Maple version that I am using.
I tried the routines in Maple 2015 and they worked fine
after I executed the startup code. This option does not exist in Maple 13.
Thank you again!

mapleatha
 

@acer 

I am only using this stuff for printing, acer. In this particular instance, it just happened
that when I put another procedure around it, even the simplest procedure with nothing else in it, it doesn't work.
I will keep playing with it just in case.
Thank you!

mapleatha

@acer 

Just great acer! However, this

T:=A-lambda*LinearAlgebra:-IdentityMatrix(2):
EQ( 'LinearAlgebra:-Determinant(T)',
    sort(LinearAlgebra:-Determinant(T)),
    0 );

doesn't work inside another procedure. I don't understand why.
I really appreciate your kind and thorough responses.
Thank you again!

mapleatha

@acer 

acer, i input, for the matrix ALI=A-lambda I,

GG:='LinearAlgebra:-Determinant(ALI)' = LinearAlgebra:-Determinant(ALI);
print(GG=0);

and I get

Would you please tell me how to get rid of the parentheses?
I would really appreciate it.

mapleatha

@acer 

Thank you very much acer. '|M|' = |M| did not work, but the second suggestion worked just great.

mapleatha

@Kitonum 

Thank you, Kitonum.

mapleatha

@acer 

Thank you, acer!

mapleatha

@Kitonum 

This worked pefecltly. Well, now I need lambda_1 (with index 1) instead of just lambda,
A+`&lambda[1]; I`=<1,2; 3,4>;   or  A+`&lambda[1]; I`=<1,2; 3,4>;    do not work.
Please advise if possible.
Thanks again!

mapleatha                     

@acer 

I don't see the term "Atomic" anywhere in the menus and submenus of my Maple 13 GUI version.
The "Convert To" menu item does not contain the subitem "Atomic Variable".

Thank you!

mapleatha
 

@Markiyan Hirnyk 

Markiyan,

Mathematics is full of expressions connected with equality and/or inequaiity signs.
For example, we could have 10 expressions connected like this.
Quotes and double quotes will not work.
For example if A, B, C are complicated expressions containig vetors and matrices how do we print A = B = C?
For example, how do we print A+lamda I = A+ 4I = B?
Thanks.

Soulis