[3] Show if the function Ae-2bx² is an eigenfunction of the operator Ô = ? d² dx² d² [4] Find the eigenvalue for eikx, where ô =4²+² ? dx² [5] Let the a; be the series of odd integers, evaluate the following: 5 - Σαρ i=1 X = [6] let, and y = a₁ i=1 d ô = ª_,ĉ =6, Â =i- P dx Find the following terms: (1) P* (II) ĉo f (x) dx " B = (m) [7] Evaluate the following triple integral. d -, f(x) = 2x²y+y dy [6.B] (IV) [P+6]f(x) L²S₁² S²(x² + y² + z²) dx dy dz 0
[3] Show if the function Ae-2bx² is an eigenfunction of the operator Ô = ? d² dx² d² [4] Find the eigenvalue for eikx, where ô =4²+² ? dx² [5] Let the a; be the series of odd integers, evaluate the following: 5 - Σαρ i=1 X = [6] let, and y = a₁ i=1 d ô = ª_,ĉ =6, Â =i- P dx Find the following terms: (1) P* (II) ĉo f (x) dx " B = (m) [7] Evaluate the following triple integral. d -, f(x) = 2x²y+y dy [6.B] (IV) [P+6]f(x) L²S₁² S²(x² + y² + z²) dx dy dz 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
please solve question 4
![[3] Show if the function Ae-2bx² is an eigenfunction of the operator Ô = ?
d²
dx²
d²
[4] Find the eigenvalue for eikx, where ô = ?
dx²
[5] Let the a; be the series of odd integers, evaluate the following:
5
- Σαρ
i=1
X =
[6] let,
and y = a₁
i=1
d
ô = ª_,ĉ =6, Â =i-
P
dx
Find the following terms:
(1) P*
(II) ĉo f (x)
dx
"
B =
d
[7] Evaluate the following triple integral.
-, f(x) = 2x²y+y
dy
(II) [6,8]
(IV) [P+6]f(x)
L²S² S²(x² + y² + 2²) dx dy dz
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa776007d-c1a9-4c9a-845d-9c437376c307%2F85b21f44-0f64-42e2-847c-d9b936625d74%2Fqa2e31n_processed.png&w=3840&q=75)
Transcribed Image Text:[3] Show if the function Ae-2bx² is an eigenfunction of the operator Ô = ?
d²
dx²
d²
[4] Find the eigenvalue for eikx, where ô = ?
dx²
[5] Let the a; be the series of odd integers, evaluate the following:
5
- Σαρ
i=1
X =
[6] let,
and y = a₁
i=1
d
ô = ª_,ĉ =6, Â =i-
P
dx
Find the following terms:
(1) P*
(II) ĉo f (x)
dx
"
B =
d
[7] Evaluate the following triple integral.
-, f(x) = 2x²y+y
dy
(II) [6,8]
(IV) [P+6]f(x)
L²S² S²(x² + y² + 2²) dx dy dz
0
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