A real polynomial L(y) satisfies this recurrence relation:
2*L(y) + 1 = L(y-1) + L(y+1) - 1
It is also known that L'(5) = 15, and:
∫ L(y-2) dy = 4*L(2)
Determine the value of L(-5)
(In reply to Solution
Your methodology is different from the process known to me.
But, I like your method for its originality and simplicity apart from being compact and concise.
Consequently, I confirm having hyperlinked your methodology in my solution.