@Preben Alsholm 

Hi,

First of all, thanks for the response. But my question focuses more on the formal description rather than the on solution technique. I would like to know, if I have an original system of diff. equations (as presented above), is the reverse form of this system simply received by changing the sign of the original system or it's something more complicated?

Thanks

Dmitry 

@Carl Love 

Hi,

Thanks for the respose. I have two additional  questions:

1. Why does Maple need to make up a new variable? 

2. Why the obtained solution is presented in the integral form even when the initial conditions were supplied?

Thanks,

Dmitry