2- Consider the differential equation (²+3)y" - 4y' = 0. The recurrence relation for the coefficients an of the power series solution an" about the ordinary point o=0 is given by b) an+2= an+2= an+2= none of these an+2= 12-0 4nan+1 + (n² − n)an 3n² +9n+6 n22 (4n+4)an+1-(n² - n)an 3n² + 9n + 6 (n+4)an+1 + n²an 3n² +9n+6 an+1 + (n²-n)an 3n² +9n+6 1 " n>2 n22 n22

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2- Consider the differential equation (²+3)y" - 4y' = 0. The recurrence relation for the coefficients an of the
power series solution an" about the ordinary point o=0 is given by
b)
an+2=
an+2=
an+2=
none of these
an+2=
12-0
4nan+1 + (n² = n)an
3n² +9n+6
n22
(4n+4)an+1-(n² - n)an
3n² +9n+6
(n + 4)an+1 +n²an
3n² +9n+6
an+1 + (n²-n)an
3n² +9n+6
1
"
n>2
n≥ 2
n22
Transcribed Image Text:2- Consider the differential equation (²+3)y" - 4y' = 0. The recurrence relation for the coefficients an of the power series solution an" about the ordinary point o=0 is given by b) an+2= an+2= an+2= none of these an+2= 12-0 4nan+1 + (n² = n)an 3n² +9n+6 n22 (4n+4)an+1-(n² - n)an 3n² +9n+6 (n + 4)an+1 +n²an 3n² +9n+6 an+1 + (n²-n)an 3n² +9n+6 1 " n>2 n≥ 2 n22
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