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Differential Equations: Decomposition questions

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Differential Equations: Decomposition questions - Complex numbers - Suitable for exam prep

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Question 1 (8 marks)

Solve

𝑦 ′′ + 6𝑦 ′ + 13𝑦 = 4𝑒 2𝑥

using the method of decomposition.

Question 2 (8 marks)

Solve

𝑦 ′′ + 4𝑦 ′ + 20𝑦 = 5𝑒 −𝑥

using the method of decomposition.

Question 3 (8 marks)

Solve

𝑦 ′′ + 2𝑦 ′ + 10𝑦 = 6𝑒 3𝑥

using the method of decomposition.

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Institution: Nelson Mandela Metropolitan University (NMMU)
Course: Differential Equations (MAPV201)

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Written in: 2025/2026
Type: Exam (elaborations)
Contains: Only questions

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Differential Equations: Decomposition questions

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