MathDB
Problems
Contests
National and Regional Contests
PEN Problems
PEN K Problems
6
K 6
K 6
Source:
May 25, 2007
function
algebra
polynomial
Functional Equations
pen
Problem Statement
Find all functions
f
:
N
→
N
f: \mathbb{N}\to \mathbb{N}
f
:
N
→
N
such that for all
n
∈
N
n\in \mathbb{N}
n
∈
N
:
f
(
19
)
(
n
)
+
97
f
(
n
)
=
98
n
+
232.
f^{(19)}(n)+97f(n)=98n+232.
f
(
19
)
(
n
)
+
97
f
(
n
)
=
98
n
+
232.
Back to Problems
View on AoPS