I have an old Inspiron 2200 with a almost dead Ni-Mh battery. Type P5413. Can I replace this with a Li-Ion Battery and will it work with the internal charging system??? I have a lead on this one in ebay: .......... replace T5443,w5543 Li-ion 14.8v 5200mah/77wh OR, where can I get a used one that will last for a while......... Thanks.