i am having some trouble with the following problem.

solve:

dy/dx= (x+1)/y-1), y>1

here is what is have done so far-

(y-1) dy/dx=(x+1)

S[(y-1)dy/dx]dx=S(x+1)dx

y^2/2 -y=x^2/2+x <-i feel this is where i made a mistake

Any help would be appreciated.

thx