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Solve: y'' +2y' +4y = 0 — Detailed Solution | AhaStep

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

Solve: y'' +2y' +4y = 0

📝 Problem

y'' +2y' +4y = 0

✨Detailed Solution

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1

1. 📝 Associated Homogeneous Eq.: y'' + (2)y' + (4)y = 0

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PT đặc trưng: r² + (2)r + (4) = 0

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2. 🧮 Homogeneous Solution (y_h): r = -1 \pm 1.732050808i$

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sin(1.732050808x)]

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