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Solve: Solve the ODE: y'' + 1y' + 2y = 0 — Detailed Solution | AhaStep

Home›Math›Solve: Solve the ODE: y'' + 1y' + 2y = 0

📐 MathLevel 2 — 🟢 Basicode👁 17 views⏱ 1 min read

Solve: Solve the ODE: y'' + 1y' + 2y = 0

📝 Problem

Solve the ODE: y'' + 1y' + 2y = 0

✨Detailed Solution

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1

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

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PT đặc trưng: r² + (1)r + (2) = 0

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2. 🧮 Homogeneous Solution (y_h): r = -1/2 \pm 1.322875656i$

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sin(1.322875656x)]

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Solve: Solve the ODE: y'' + 3y' + 8y = 0