In Problems 9-14, find the values of λ (eigenvalues) for which the given problem has a nontrivial solution. Also determine the corresponding nontrivial solutions (eigenfunctions). y ″ + λ y = 0 ; 0 < x < π , y ( 0 ) − y ′ ( 0 ) = 0 , y ( π ) = 0
In Problems 9-14, find the values of λ (eigenvalues) for which the given problem has a nontrivial solution. Also determine the corresponding nontrivial solutions (eigenfunctions). y ″ + λ y = 0 ; 0 < x < π , y ( 0 ) − y ′ ( 0 ) = 0 , y ( π ) = 0
Solution Summary: The author explains the eigenvalue of the nontrivial solution of given function y′′+lambda y=0 with the initial boundary conditions.
In Problems 9-14, find the values of
λ
(eigenvalues) for which the given problem has a nontrivial solution. Also determine the corresponding nontrivial solutions (eigenfunctions).
y
″
+
λ
y
=
0
;
0
<
x
<
π
,
y
(
0
)
−
y
′
(
0
)
=
0
,
y
(
π
)
=
0
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