Beginning with the equation A.x/y00 C B.x/y0 C C.x/y C

Chapter , Problem 16

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Beginning with the equation A.x/y00 C B.x/y0 C C.x/y C D.x/y D 0; first divide by A.x/ and then multiply by p.x/ D expZ B.x/ A.x/ dx : Show that the resulting equation can be written in the SturmLiouville form d dx p.x/ dy dx q.x/y C r.x/y D 0 with q.x/ D p.x/C.x/=A.x/ and r.x/ D p.x/D.x/=A.x/:

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