Aerospace Engineering > GATE 2017 > Differential Equations
The eigenvalues λn and eigenfunctions un(x) of the Sturm-Liouville problem d2y/dx2 + k2λy=0 , 0
A
λn=n2π2; un(x)=sin λnx, n=0, ±1, ±2, ∙∙∙,∞
B
λn=n2π2/k2; un(x)=sin knπx, n=0, ±1, ±2, ∙∙∙,∞
C
λn=n2π2/k2; un(x)=sin nπx n=0, ±1, ±2, ∙∙∙,∞
D
λn=n2π2; un(x)=sin nπx, n=0, ±1, ±2, ∙∙∙,∞

Correct : c

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