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

question 4

Multiple Choice

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

• A) Bessel's equation of order \(n\)
• 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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