Laplace equation solution

[Guest]

Hi every one,
I have a question as follows:
Let s be the Laplace operation.
Consider the following equation:
(s+k1)X(s)+(s+k2)*Y(s)=0,
where k1 and k2 are positive constants.
How can I conclude the range of the value of X(s) and Y(s)? (my desired solution is both X(s) and Y(s) are equal to zero).
Thank you.