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Consider the Bessel Equation of Order \neq 0
Which of These Is the Recurrence Relation for the Method

Question 63

Multiple Choice

Consider the Bessel equation of order  Consider the Bessel equation of order   . Suppose the method of Frobenius is used to determine a power series solution of the form   . Of this differential equation. Assume a<sub>0</sub>  \neq  0. Which of these is the recurrence relation for the coefficients? A)    a_{1}=0, a_{n+2}=\frac{-a_{n}}{(r+n-2) ^{2}+16}, n \geq 0   B)    a_{1}=0, a_{n+2}=\frac{-a_{n}}{(r+n+2) ^{2}-16}, n \geq 0   C)    a_{1}=1, a_{n+2}=\frac{-a_{n}}{(r+n-2) ^{2}+16}, n \geq 0   D)    a_{1}=1, a_{n+2}=\frac{-a_{n}}{(r+n+2) ^{2}-16}, n \geq 0 .
Suppose the method of Frobenius is used to determine a power series solution of the form  Consider the Bessel equation of order   . Suppose the method of Frobenius is used to determine a power series solution of the form   . Of this differential equation. Assume a<sub>0</sub>  \neq  0. Which of these is the recurrence relation for the coefficients? A)    a_{1}=0, a_{n+2}=\frac{-a_{n}}{(r+n-2) ^{2}+16}, n \geq 0   B)    a_{1}=0, a_{n+2}=\frac{-a_{n}}{(r+n+2) ^{2}-16}, n \geq 0   C)    a_{1}=1, a_{n+2}=\frac{-a_{n}}{(r+n-2) ^{2}+16}, n \geq 0   D)    a_{1}=1, a_{n+2}=\frac{-a_{n}}{(r+n+2) ^{2}-16}, n \geq 0 .
Of this differential equation. Assume a0 \neq 0.
Which of these is the recurrence relation for the coefficients?


A) a1=0,an+2=an(r+n2) 2+16,n0 a_{1}=0, a_{n+2}=\frac{-a_{n}}{(r+n-2) ^{2}+16}, n \geq 0
B) a1=0,an+2=an(r+n+2) 216,n0 a_{1}=0, a_{n+2}=\frac{-a_{n}}{(r+n+2) ^{2}-16}, n \geq 0
C) a1=1,an+2=an(r+n2) 2+16,n0 a_{1}=1, a_{n+2}=\frac{-a_{n}}{(r+n-2) ^{2}+16}, n \geq 0
D) a1=1,an+2=an(r+n+2) 216,n0 a_{1}=1, a_{n+2}=\frac{-a_{n}}{(r+n+2) ^{2}-16}, n \geq 0

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