I am trying to do this problem using a somewhat similiar book example...
dy/dx = (e^y + 1)(x-2)^9
d/dy (e^y+1) = d/dx (x-2)^9
integral d/dy (e^y +1) = integral d/dx (x-2)^9
ln[y+1]^10 = 9(x-2)^8
........now split up the y' and set up the integration
........as it stands, the left hand side is hard to integrate
......add (which is zero so we're not changing anything) to the numerator on the left.
........split up the integral on the left
.....integrated, using substituion on the second integral on the left
if you have any questions say so