Solving a system of linear differential equations with matlab

I have a general question. I used dsolve to solve a normal system of linear equations and got a answer completly different then the one I got when I solved by hand. I know the one I did by hand is right because the solution corresponds with that of the textbook. So how is it that matlab gives a different answer but yet it is also correct?

[Azzi Abdelmalek]

How are we supposed to know if we ignore your equation, and how you solved it with Matlab? Also sometimes, there are errors in books