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Solve: Solve the ODE: y'' + 6y' + 1y = 0 — Detailed Solution | AhaStep

Home›Math›Solve: Solve the ODE: y'' + 6y' + 1y = 0

📐 MathLevel 2 — 🟢 Basicode👁 16 views⏱ 1 min read

Solve: Solve the ODE: y'' + 6y' + 1y = 0

📝 Problem

Solve the ODE: y'' + 6y' + 1y = 0

✨Detailed Solution

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1. 📝 Associated Homogeneous Eq.: y'' + (6)y' + (1)y = 0

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PT đặc trưng: r² + (6)r + (1) = 0

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2. 🧮 Homogeneous Solution (y_h): r_{1} = -0.1715728753r_{2} = -5.828427125$

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