Hi!
After reading my own message of this morning I realized that there
are two little (and quite obvious) mistakes. Sorry!
Under COORDINATES, end of second line, it should be: ... at time t=0,
x_B=L_0.
Under CONCLUSIONS, b) we should require v,k> 0 (NOT v,k >= 0).
Indeed, if v=0 but k>0, the solution goes to + infinity.
Emilio