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The dynamics of a system which has an input and an output is described by the following differential equation: Put) + 3 dut) + 2y(t) = r(t) dt² where the initial conditions are: y (0) = 0, = 0, dy(0) dt = 0, r(t) = 1,430 = Using Laplace transform, solve for the time response of this system (i.e. solve for y(t). t20).

The dynamics of a system which has an input and an output is described by the following differential equation: Put) + 3 dut) + 2y(t) = r(t) dt² where the initial conditions are: y (0) = 0, = 0, dy(0) dt = 0, r(t) = 1,430 = Using Laplace transform, solve for the time response of this system (i.e. solve for y(t). t20).

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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The dynamics of a system which has an input and an output is described by the following differential equation: d²y(t) dy(t) +3 dt² dt -2y(t) = r(t) where the initial conditions are: y (0) = 0, dy (0) dt = 0, r(t) 1, t20 = Using Laplace transform, solve for the time response of this system (i.e. solve for y(t). t20).
Transcribed Image Text:The dynamics of a system which has an input and an output is described by the following differential equation: d²y(t) dy(t) +3 dt² dt -2y(t) = r(t) where the initial conditions are: y (0) = 0, dy (0) dt = 0, r(t) 1, t20 = Using Laplace transform, solve for the time response of this system (i.e. solve for y(t). t20).
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