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Solve Solve the ODE: y'' + 1y' + 3y = 0 — Step-by-Step Solution by AhaStep | AhaStep

Home›Math›Solve Solve the ODE: y'' + 1y' + 3y = 0 — Step-by-Step Solution by AhaStep

📐 MathLevel 6 — 🔵 Intermediateode👁 17 views⏱ 1 min read

Solve Solve the ODE: y'' + 1y' + 3y = 0 — Step-by-Step Solution by AhaStep

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Solve the ODE: y'' + 1y' + 3y = 0

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1

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

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PT đặc trưng: r² + (1)r + (3) = 0

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2. 🧮 Homogeneous Solution (y_h): r = -1/2 \pm 1.658312395i$

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sin(1.658312395x)]

🔒 2 steps remaining

📐 Lv.2

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