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Pan African
2003 Pan African
3
Another functional equation
Another functional equation
Source: Pan African 2003
October 4, 2005
function
Problem Statement
Find all functions
f
:
R
→
R
f: R\to R
f
:
R
→
R
such that:
f
(
x
2
)
−
f
(
y
2
)
=
(
x
+
y
)
(
f
(
x
)
−
f
(
y
)
)
,
x
,
y
∈
R
f(x^2)-f(y^2)=(x+y)(f(x)-f(y)), x,y \in R
f
(
x
2
)
−
f
(
y
2
)
=
(
x
+
y
)
(
f
(
x
)
−
f
(
y
))
,
x
,
y
∈
R
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