Use the method of characteristics to solve the initial value problemUt-ru₂ = 0,-∞0 0,u(0, x) = x²,-∞ < x < 0.

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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