my integrating factor for the DE ty' + (t+1)y = t is mu(x) = e^integ (1+(1/t))
= e^(t + ln|t| + c)
so does this simplify to this...or not?
= e^t + t + c
so that DE becomes:
((e^t) + t))y = (e^t) + t)
and then after integrating...
((e^t) + t))y = e^t + (1/2)t^2 + c
is that correct??