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2) A spring has a mass of 2 units, a damping constant of 6 units, and a spring constant of 30.5 units. If the spring is extended 2 units and then released with a velocity of 2 units. A forcing function of et is applied to the spring. Answer the following. a) Write the differential equation with the initial values. b) Find the displacement at time t = 2 c) Find the velocity at time t = 2 d) What is the limit of x(t) as tend tends to infinity?

2) A spring has a mass of 2 units, a damping constant of 6 units, and a spring constant of 30.5 units. If the spring is extended 2 units and then released with a velocity of 2 units. A forcing function of et is applied to the spring. Answer the following. a) Write the differential equation with the initial values. b) Find the displacement at time t = 2 c) Find the velocity at time t = 2 d) What is the limit of x(t) as tend tends to infinity?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2) A spring has a mass of 2 units, a damping constant of 6 units, and a spring constant of 30.5 units. If the spring is extended 2 units and then released with a velocity of 2 units. A forcing function of et is applied to the spring. Answer the following. a) Write the differential equation with the initial values. b) Find the displacement at time t = 2 c) Find the velocity at time t = 2 d) What is the limit of x(t) as tend tends to infinity?
Transcribed Image Text:2) A spring has a mass of 2 units, a damping constant of 6 units, and a spring constant of 30.5 units. If the spring is extended 2 units and then released with a velocity of 2 units. A forcing function of et is applied to the spring. Answer the following. a) Write the differential equation with the initial values. b) Find the displacement at time t = 2 c) Find the velocity at time t = 2 d) What is the limit of x(t) as tend tends to infinity?
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