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Solve: wave equation u_tt = 10 u_xx — Detailed Solution | AhaStep

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📐 MathLevel 2 — 🟢 Basicpde👁 14 views⏱ 1 min read

Solve: wave equation u_tt = 10 u_xx

📝 Problem

wave equation u_tt = 10 u_xx

✨Detailed Solution

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1. 📝 PDE: u_tt = 1·u_xx

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Dạng: Wave equation

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2. 🧮 Method: Separation of variables, c = 1

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3. 📐 Solution: u(x,t) = Σ sin(nπx/L)[Aₙcos(1nπt/L) + Bₙsin(1nπt/L)]

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