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The Problem Is Not a Regular Sturm-Liouville Problem Under Which of the \left[

Question 11

Multiple Choice

The problem ddx[r(x) y]+(q(x) +λp(x) ) y=0,A1y(a) +B1y(a) =0,A2y(b) +B2y(b) =0\frac { d } { d x } \left[ r ( x ) y ^ { \prime } \right] + ( q ( x ) + \lambda p ( x ) ) y = 0 , A _ { 1 } y ( a ) + B _ { 1 } y ^ { \prime } ( a ) = 0 , A _ { 2 } y ( b ) + B _ { 2 } y ^ { \prime } ( b ) = 0 is not a regular Sturm-Liouville problem under which of the following conditions. Select all that apply.


A) r=1/(xa) r = 1 / ( x - a ) on (a,b) ( a , b )
B) q(x) =0q ( x ) = 0 on [a,b][ a , b ]
C) p(x) =xap ( x ) = x - a on [a,b][ a , b ]
D) A1A2=0A _ { 1 } A _ { 2 } = 0
E) A12+B12=0A _ { 1 } ^ { 2 } + B _ { 1 } ^ { 2 } = 0

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