Question: Find the eigenvalues and eigenfunctions for the differential operator ()= L ( y ) = y with boundary conditions (0)=0 y ( 0 ) =

Find the eigenvalues and eigenfunctions for the differential operator ()= L ( y ) = y with boundary conditions (0)=0 y ( 0 ) = 0 and (7)=0 y ( 7 ) = 0 , which is equivalent to the following BVP +=0,(0)=0,(7)=0. y + y = 0 , y ( 0 ) = 0 , y ( 7 ) = 0. (a) Find all eigenvalues n as function of a positive integer 1 n 1 . = n = functionsequation editor (b) Find the eigenfunctions y n corresponding to the eigenvalues n found in part (a). ()=

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