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Arnold's Trivium
1991 Arnold's Trivium
10
Problem 10
Problem 10
Source:
July 1, 2010
trigonometry
Problem Statement
Investigate the asymptotic behaviour of the solutions
y
y
y
of the equation
x
5
+
x
2
y
2
=
y
6
x^5 + x^2y^2 = y^6
x
5
+
x
2
y
2
=
y
6
that tend to zero as
x
ā
0
x\to0
x
ā
0
.
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