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Engineering Physics · Q46

Mathematical Physics

Engineering and GATE · Engineering Physics · question 46

Q46

Consider the Bessel equation \[ ( v = 0 ),\, d^2ydz^2 + 1/z dydz + y = 0.\] Which one of the following statements is correct?

Consider the Bessel equation
Which one of the following statements is correct?
A.
Equation has regular singular points at z = 0 and z =
Answer
B.
Equation has 2 linearly independent solutions that are entire
C.
Equation has an' entire solution and a second linearly independent solution singular at z = 0
D.
Limit z → , taken along X-axis, exists for both the linearly independent solutions

Answer: Option A

Solution

Answer: Option A
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