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Solve Solve the ODE: y'' + 5y' + 7y = 0 — Step-by-Step Solution by AhaStep | AhaStep

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

Solve Solve the ODE: y'' + 5y' + 7y = 0 — Step-by-Step Solution by AhaStep

📝 Problem

Solve the ODE: y'' + 5y' + 7y = 0

✨Detailed Solution

1. 📝 Associated Homogeneous Eq.: y'' + (5)y' + (7)y = 0

PT đặc trưng: r² + (5)r + (7) = 0

2. 🧮 Homogeneous Solution (y_h): r = -5/2 \pm 0.8660254038i$

sin(0.8660254038x)]

🔒 2 steps remaining

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1. 📝 Associated Homogeneous Eq.: y'' + (5)y' + (7)y = 0

PT đặc trưng: r² + (5)r + (7) = 0

2. 🧮 Homogeneous Solution (y_h): r = -5/2 \pm 0.8660254038i$

sin(0.8660254038x)]

🔒 2 steps remaining

📐 Lv.2

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