Suppose you had and you know that if you can put it into the form , then you can take the Lambert W function of both sides and obtain . So, can you get into the form and then taking the W function of both sides get . Alright then, now do it with , isolate , and then integrate.
. . . oh yeah . . . end special function discrimination: Equal rights for special functions!
. . . same dif with the other one too. Pretty sure anyway, haven't worked it out and checked it though.