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Arnold's Trivium
1991 Arnold's Trivium
79
Problem 79
Problem 79
Source:
July 1, 2010
trigonometry
Problem Statement
How many solutions has the boundary-value problem
u
x
x
+
λ
u
=
sin
x
,
u
(
0
)
=
u
(
π
)
=
0
u_{xx}+\lambda u=\sin x,\;u(0)=u(\pi)=0
u
xx
+
λ
u
=
sin
x
,
u
(
0
)
=
u
(
π
)
=
0
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