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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

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