- Use the method of characteristics to solve the initial value problem utxu, = 0, u(0, x) = x², -∞0 0, -∞ < x < x.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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Use the method of characteristics to solve the initial value problem
Ut-ru₂ = 0,
-∞0<x<∞, t> 0,
u(0, x) = x²,
-∞ < x < 0.
Transcribed Image Text:Use the method of characteristics to solve the initial value problem Ut-ru₂ = 0, -∞0<x<∞, t> 0, u(0, x) = x², -∞ < x < 0.
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