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Solve: heat equation u_t = 3 u_xx — Detailed Solution | AhaStep

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📐 MathLevel 2 — 🟢 Basicpde👁 18 views⏱ 1 min read

Solve: heat equation u_t = 3 u_xx

📝 Problem

heat equation u_t = 3 u_xx

✨Detailed Solution

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1. 📝 PDE: u_t = 1·u_xx

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Dạng: Heat equation

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2. 🧮 Method: Separation of variables: u(x, )·T(t)

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3. 📐 Solution: u(x,t) = Σ Bₙ sin(nπx/L) e^(-n²π²1t/L²)

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