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Solve: Solve the ODE: y'' + 3y' + 9y = 0 — Detailed Solution | AhaStep

Home›Math›Solve: Solve the ODE: y'' + 3y' + 9y = 0

📐 MathLevel 2 — 🟢 Basicode👁 20 views⏱ 1 min read

Solve: Solve the ODE: y'' + 3y' + 9y = 0

📝 Problem

Solve the ODE: y'' + 3y' + 9y = 0

✨Detailed Solution

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1

1. 📝 Associated Homogeneous Eq.: y'' + (3)y' + (9)y = 0

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PT đặc trưng: r² + (3)r + (9) = 0

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2. 🧮 Homogeneous Solution (y_h): r = -3/2 \pm 2.598076211i$

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sin(2.598076211x)]

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Solve Solve the ODE: y'' + 6y' + 2y = 0 — Step-by-Step Solution by AhaStep