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Arnold's Trivium
1991 Arnold's Trivium
62
Problem 62
Problem 62
Source:
July 1, 2010
trigonometry
Problem Statement
Find all solutions of the equation
y
∂
u
/
∂
x
−
sin
x
∂
u
/
∂
y
=
u
2
y\partial u/\partial x-\sin x\partial u/\partial y=u^2
y
∂
u
/
∂
x
−
sin
x
∂
u
/
∂
y
=
u
2
in a neighbourhood of the point
0
,
0
0,0
0
,
0
.
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