If and S,= then S + S2 is equal to (36k-1)' 2. k-1 (A) (B) 12 (C) (D) 2 112 15-PR 12

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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and S, =2
,then S +S2 is equal to
(36k-1)'
k41
n 1
(B)
12 2
(A)
(C)
15
(D)
18 2
112
Transcribed Image Text:and S, =2 ,then S +S2 is equal to (36k-1)' k41 n 1 (B) 12 2 (A) (C) 15 (D) 18 2 112
Expert Solution
Step 1

Given that :

If k=11k2=π26Si=k=1i(36k2-1)i

In-order to find the value of S1+S2,

S1 = k=11(36×π26-1)1S2 = k=12(36×π26-1)2

Step 2

If S1 and S2 is added , then the value will be ;

S1 + S2 = k=11(36×π26-1)1  + k=12(36×π26-1)2S1 + S2 =k=11(36×π26-1)+ k=12(36×π262-12)S1 + S2 =k=11(6π2-1)+1(6π22-1)

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