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Arnold's Trivium
1991 Arnold's Trivium
80
Problem 80
Problem 80
Source:
July 1, 2010
integration
quadratics
calculus
Problem Statement
Solve the equation
∫
0
1
(
x
+
y
)
2
u
(
x
)
d
x
=
λ
u
(
y
)
+
1
\int_0^1(x+y)^2u(x)dx=\lambda u(y)+1
∫
0
1
(
x
+
y
)
2
u
(
x
)
d
x
=
λ
u
(
y
)
+
1
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