For each of the following LTI ODE's, find the complete solution and plot it to twice the settling time. 2. 3. 4. x(t) +3x(t) + 25x(t) = -50 x(0) = 0, x(0) = −1 x(t) +3x(t) +25x(t) = 3sin(2t) x(0) = 0, x(0) = 1 0 2t+15 x(t) +3x(t) + 25x(t) = = 2sin(t) t<0 5t≥0 5t≥ 15 (plot to 20s) x(0) = 0, x(0) = 0 0 t > 15

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Problem 2SE: What is the composition of two functions, fg ?
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For each of the following LTI ODE's, find the complete solution and plot it to twice the settling time.
2.
3.
4.
x(t) +3x(t) + 25x(t) = -50
x(0) = 0, x(0) = −1
x(t) +3x(t) +25x(t) = 3sin(2t)
x(0) = 0, x(0) = 1
0
2t+15
x(t) +3x(t) + 25x(t) =
=
2sin(t)
t<0
5t≥0
5t≥ 15
(plot to 20s)
x(0) = 0, x(0) = 0
0
t > 15
Transcribed Image Text:For each of the following LTI ODE's, find the complete solution and plot it to twice the settling time. 2. 3. 4. x(t) +3x(t) + 25x(t) = -50 x(0) = 0, x(0) = −1 x(t) +3x(t) +25x(t) = 3sin(2t) x(0) = 0, x(0) = 1 0 2t+15 x(t) +3x(t) + 25x(t) = = 2sin(t) t<0 5t≥0 5t≥ 15 (plot to 20s) x(0) = 0, x(0) = 0 0 t > 15
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