Problem (2) A. Using the Laplace transform find the solution for the following equations? 1) f) = 3-2t y(0) = 0, y(0) =0 2) fe) =e* y(0) = 4. y(0) = 0 3) o + 16y(t) = 56(e-1) y(0) = 0. ý(0) = 0 4) o - Sy(t) = e"s y(0) = 2. y(0) -b 5) m = 2 + y(t) y(0) = 3, ý(0) = 6
Problem (2) A. Using the Laplace transform find the solution for the following equations? 1) f) = 3-2t y(0) = 0, y(0) =0 2) fe) =e* y(0) = 4. y(0) = 0 3) o + 16y(t) = 56(e-1) y(0) = 0. ý(0) = 0 4) o - Sy(t) = e"s y(0) = 2. y(0) -b 5) m = 2 + y(t) y(0) = 3, ý(0) = 6
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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Transcribed Image Text:Problem (2)
A. Using the Laplace transform find the solution for the following equations?
1) fO = 3- 2t
2) fC) = e
y(0) = 0.
y(0) = 0
y(0) = 4, ý(0) = 0
3) o + 16y(1) = 58(t – 1)
y(0) = 0,
y(0) = 0
4) - 5y(t) =e-se
y(0) = 2.
y(0) = b
5) 0 = 2%0 + y()
y(0) = 3, y(0) = 6
B. Using the Inverse Laplace transform find the solution for the following
equations?
6) F(s) =
7) F(s) =;
8) F(s) =
9) F(s) =
10) F(s) =
sts+35+2)
Problem (3): Sketch the root loci for the system shown in the below Figure?
K(s + 0.4)
s(s+ 3.6)
R(s)
C(s)
Problem (4): The uncompensated loop transfer function is
G(s) = )
For the desired specifications 10% < os < 20%, and t, < 2. Utilize a PD
compensator for the system?
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