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Solve: Solve the ODE: y'' + 4y' + 8y = 0 — Detailed Solution | AhaStep

Home›Math›Solve: Solve the ODE: y'' + 4y' + 8y = 0

📐 MathLevel 2 — 🟢 Basicode👁 29 views⏱ 1 min read

Solve: Solve the ODE: y'' + 4y' + 8y = 0

📝 Problem

Solve the ODE: y'' + 4y' + 8y = 0

✨Detailed Solution

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1. 📝 Associated Homogeneous Eq.: y'' + (4)y' + (8)y = 0

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PT đặc trưng: r² + (4)r + (8) = 0

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2. 🧮 Homogeneous Solution (y_h): r = -2 \pm 2i$

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Solve: Solve the ODE: y'' + 1y' + 4y = 0