Hmmm I don't quite understand what you want to do!
Your expressions for and are correct.
Now, substitute them in and prove it equals 0.
Here's the question:
Verify by substitution that is a solution to
I decided to do this question by differentiating y twice (to get and ) and subsituting these expressions in. Then I would rearrange the equation to make y the subject and prove that what I get is .
After substituting these expressions in I end up with:
I just wanted to check if my differentiation was correct. I have double and triple checked my substitution and that's fine.
It just occurred to be that I should have put this in the calculus section. Sorry!
Practically every question on the proof by induction homework was a typo. It's very annoying!
I'll have to make a note of this question to quiz my tutor about. There are two questions I have to do in this way, this is the second but the first one is also a typo!!
Someone should proof-read these before they are handed out. It's confusing undergraduate students, namely me!!!