< 5 IMMAN SANA." 3. If U₁ = sin (xx/L) cos (avt/L) and U₂ = sin (3xx/L) cos (3avt/L) are solutions to the wave equation, then show that U₁ + U₂ is a solution to the wave equation. U.: Sin (TA) cos(Tvt) U₂3 Sin (31x) cos (³x+) Sin (TX) TO =-Sin U=U₁+U₂ = Sin (TX) COS (Txt) + Sin (3πx) COS (³ TV+) = TTX Sin (ITE). ITX (- Sun (Txt)) + Sin (31x). 30* (- 5m (2+x²)) -vt L L HO Nove cq. J'U (xt). I d'Ult (x, dx² +: 0

Principles of Instrumental Analysis
7th Edition
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Chapter9: Atomic Absorption And Atomic Fluorescence Spectrometry
Section: Chapter Questions
Problem 9.15QAP
icon
Related questions
Question
I am not sure how to proceed or start for that matter
5:50 PM Thu Sep 15
5
3. If U₁= sin (xx/L) cos (avt/L) and U₂ = sin (3xx/L) cos (3avt/L) are solutions to the wave
equation, then show that U₁ + U₂ is a solution to the wave equation.
U₁= Sin (TX) cos(Tvt)
L
U₂3 Sin (3x) cos (3x+)
T
in (TX)
U=U₁+U₂
=
Sin (TLE) COS(Txt) + Sin (31x) COS (3 TV+)
L
=-Sin/TTX
TTV
=
Sin (ITE). ITX (- Sun (Txt)) + Sin (31x). 30+ (-5m (2xx²))
L
L
@63%
Wove cq.: 1
Nave
+ : 0
J²U (x, t) = | J²U (x, t)
dx²
²¹
3
9
+
Transcribed Image Text:5:50 PM Thu Sep 15 5 3. If U₁= sin (xx/L) cos (avt/L) and U₂ = sin (3xx/L) cos (3avt/L) are solutions to the wave equation, then show that U₁ + U₂ is a solution to the wave equation. U₁= Sin (TX) cos(Tvt) L U₂3 Sin (3x) cos (3x+) T in (TX) U=U₁+U₂ = Sin (TLE) COS(Txt) + Sin (31x) COS (3 TV+) L =-Sin/TTX TTV = Sin (ITE). ITX (- Sun (Txt)) + Sin (31x). 30+ (-5m (2xx²)) L L @63% Wove cq.: 1 Nave + : 0 J²U (x, t) = | J²U (x, t) dx² ²¹ 3 9 +
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Techniques and Applications of Quantum Theory
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Principles of Modern Chemistry
Principles of Modern Chemistry
Chemistry
ISBN:
9781305079113
Author:
David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:
Cengage Learning