×
×

# Find a second solution of Bessels equation of order one by computing the cn(r2) and aof ISBN: 9780470458327 393

## Solution for problem 11 Chapter 5.7

Elementary Differential Equations | 10th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Elementary Differential Equations | 10th Edition

4 5 1 328 Reviews
12
0
Problem 11

Find a second solution of Bessels equation of order one by computing the cn(r2) and aof Eq. (24) of Section 5.6 according to the formulas (19) and (20) of that section. Someguidelines along the way of this calculation are the following. First, use Eq. (24) of thissection to show that a1(1) and a1(1) are 0. Then show that c1(1) = 0 and, from therecurrence relation, that cn(1) = 0 for n = 3, 5, .... Finally, use Eq. (25) to show thata2(r) = a0(r + 1)(r + 3), a4(r) = a0(r + 1)(r + 3)(r + 3)(r + 5)and thata2m(r) = (1)ma0(r + 1)(r + 2m 1)(r + 3)(r + 2m + 1), m 3.Then show thatc2m(1) = (1)m+1(Hm + Hm1)/22mm!(m 1)!, m 1.

Step-by-Step Solution:
Step 1 of 3

L14 - 10 NOTE: x y = e (a,e ) 2 ex. Find g (x)f i g(x)= ex +2 e + xe + x . 2 e Now You Try It (NYTI): Find...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780470458327

Unlock Textbook Solution