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Solve: Find the Laplace transform: L{t·e^(5t)} — Detailed Solution | AhaStep

Home›Math›Solve: Find the Laplace transform: L{t·e^(5t)}

📐 MathLevel 3 — 🟢 Basiclaplace_transform👁 20 views⏱ 1 min read

Solve: Find the Laplace transform: Lt·e^(5t)

📝 Problem

Find the Laplace transform: L{t·e^(5t)}

✨Detailed Solution

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1

1. 📝 Identify: f(t) = t·e^(5t)

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2. 📐 Formula: L{t·e^(at)} = 1/(s-a)², với a = 5

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3. 🎯 Result: L{t·e^(5t)} = 1/(s - 5)²

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Đáp án: L{t·e^(5t)} = 1/(s - 5)²

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📐 Lv.3

Solve: Find the Laplace transform: Le^(1t)