Simply enough, solve the following using U-Substitution.
dy/dx = y2-2y+1
and the answer key provides
y = 1+(x+C)-1
2. The attempt at a solution
I know how to do this, I thought. But I'm just spinning my wheels and need somebody to show me my error...
I tried moving around the dy/dx parts, so that I eventually ended up with
which simplified to
x=ln(y2)2y-ln(2y)2+y, but that's not right, unless I'm missing some kind of simplification?
Honestly, I have no idea where the textbook got the answer. Any tips? What am I doing wrong?