The solutions of the eigenvalue problem and the other problem from the previous problem are
A) $\lambda = n \pi , X = \cos ( n \pi x ) , Y = \sinh ( n \pi y ) , n = 1,2,3 , \ldots$
B) $\lambda = n \pi , X = \sin ( n \pi x ) , Y = \sinh ( n \pi y ) , n = 1,2,3 , \ldots$
C) $\lambda = n ^ { 2 } \pi ^ { 2 } , X = \cos ( n \pi x ) , Y = \sinh ( n \pi y ) , n = 1,2,3 , \ldots$
D) $\lambda = n ^ { 2 } \pi ^ { 2 } , X = \sin ( n \pi x ) , Y = \sinh ( n \pi y ) , n = 1,2,3 , \ldots$
E) $\lambda = n ^ { 2 } \pi ^ { 2 } , X = \cos ( n \pi x ) , Y = \sinh ( n \pi y ) , n = 0,1,2 , \ldots , ( Y = y \text { if } n = 0 )$

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The Answer of The solutions of the eigenvalue problem and the other problem from the previous problem are
A) $\lambda = n \pi , X = \cos ( n \pi x ) , Y = \sinh ( n \pi y ) , n = 1,2,3 , \ldots$
B) $\lambda = n \pi , X = \sin ( n \pi x ) , Y = \sinh ( n \pi y ) , n = 1,2,3 , \ldots$
C) $\lambda = n ^ { 2 } \pi ^ { 2 } , X = \cos ( n \pi x ) , Y = \sinh ( n \pi y ) , n = 1,2,3 , \ldots$
D) $\lambda = n ^ { 2 } \pi ^ { 2 } , X = \sin ( n \pi x ) , Y = \sinh ( n \pi y ) , n = 1,2,3 , \ldots$
E) $\lambda = n ^ { 2 } \pi ^ { 2 } , X = \cos ( n \pi x ) , Y = \sinh ( n \pi y ) , n = 0,1,2 , \ldots , ( Y = y \text { if } n = 0 )$

The Solutions of the Eigenvalue Problem and the Other Problem λ=nπ,X=cos⁡(nπx),Y=sinh⁡(nπy),n=1,2,3,…\lambda = n \pi , X = \cos ( n \pi x ) , Y = \sinh ( n \pi y ) , n = 1,2,3 , \ldotsλ=nπ,X=cos(nπx),Y=sinh(nπy),n=1,2,3,…

The Solutions of the Eigenvalue Problem and the Other Problem $\lambda = n \pi , X = \cos ( n \pi x ) , Y = \sinh ( n \pi y ) , n = 1,2,3 , \ldots$