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U-Substitution, can't figure out where the answer comes from?

  • Thread starter shft600
  • Start date
  • #1
24
0

Homework Statement


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
dx=dy/(y2-2y+1)
which simplified to
x=ln(y2)2y-ln(2y)2+y, but thats 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?
 

Answers and Replies

  • #2
85
0
Can you factor y^2-2y+1?
 
  • #3
24
0
That would be it! I knew it was something simple, thanks!
 

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