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The Differential Equation x2y+xy+(x21/16)y=0x ^ { 2 } y ^ { \prime \prime } + x y ^ { \prime } + \left( x ^ { 2 } - 1 / 16 \right) y = 0

Question 4

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The differential equation x2y+xy+(x21/16) y=0x ^ { 2 } y ^ { \prime \prime } + x y ^ { \prime } + \left( x ^ { 2 } - 1 / 16 \right) y = 0 is


A) Bessel's equation of order nn
B) Bessel's equation of order 1/16
C) Bessel's equation of order 1/4
D) Legendre's equation of order 1/16
E) Legendre's equation of order 1/4

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