Solve the initial value problem using d'Alembert formula - c²urz = 0, for - << Utt u(x, 0) = 0, ut (x, 0) = sin(x). (3) (4) (5)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 34CR
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This is for PDE CLASS. Pease TYPE your solution. 

Verify that your solution indeed solves the wave equation and satisfies the given initial conditions

Solve the initial value problem using d'Alembert formula
- c²UTT
Utt
= 0, for ∞ < x <<∞
u(x,0) = 0,
ut (x,0) = sin(x).
(3)
(4)
(5)
Transcribed Image Text:Solve the initial value problem using d'Alembert formula - c²UTT Utt = 0, for ∞ < x <<∞ u(x,0) = 0, ut (x,0) = sin(x). (3) (4) (5)
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,