Question: 3 (10 marks) Consider the eigenvalue equation 23: x2+1 y+ y'+/y=0, y(0)=y(1)=0- (a) By multiplying by a suitable integrating factor, bring this system to SturmLiouville

3 (10 marks) Consider the eigenvalue equation 23: x2+1 y\"+ y'+/\\y=0, y(0)=y(1)=0- (a) By multiplying by a suitable integrating factor, bring this system to SturmLiouville form. (b) Assuming the eigenvalues A are real, show that eigenfunctions corresponding to different eigen values are orthogonal with respect to a suitable weight function. (c) Show that the eigenvalues A are nonnegative

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