HW3_solution

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University of Texas, Arlington *

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340

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Mechanical Engineering

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Oct 30, 2023

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1. Find the general solution of the following differential equations: (a) ? ′′′ + 3? ′′ − 10? = ? − 3 (b) ? ′′′ − ? = ?𝑖?3? (c) ? ′′ + 16? = 2𝑐?? 2 ? (a) 2
(b)
(c)
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2. Solve for the current in the circuit shown in the figure after the switch closes. [Hints: Try a particular solution of the form 𝑖 𝑝 (?) = ?𝑒 −𝑡 .] not solution
3 4
5
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8. 6

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