Hey /sci/
Braintlet here.
I was studying for my collage admission exam and i got stuck on this problem.
Any help?
[math]f(x)+x^{2}f(x-1)=1\quad\forall\quad x \in\mathbb{R}[/math] find [math]f(2)[/math]
For x =2 f(2) +22f(1) = 1
We need f(1), for x = 1:
f(1) + 1f(0) = 1
We need f(0), for x=0
f(0) + 0f(-1) = f(0) = 1
No just use f(0) =1 to find f(1) and than f(2)
>>9165130
https://www.wolframalpha.com/input/?i=f(x)%2Bx%5E2f(x-1)%3D1