Question 4. Let y(t) satisfy the following 2nd order ordinary differential equation: 5y" + 2y'-y = 3, with initial conditions: y(0) = -2, y'(0) = 1. Let Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as: d (5s2 + bs + c)Y(s) = - S where b, c, d, e and f are constants. Enter b: Enter c: Enter d: Enter e: Enter f: Enter p: Enter q: Enter r: + e + fs, The above equation for Y(s) may be rearranged to give: ps² + qs + r Y(s) = s(58² + bs + c) where p, q and r are constants. 1000

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 4.
Let y(t) satisfy the following 2nd order ordinary differential equation:
5y" + 2y' y = 3,
with initial conditions: y(0) = −2, y'(0) = 1.
Let Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as:
d
(5s2 + bs + c)Y(s) = + e + fs,
S
where b, c, d, e and f are constants.
The above equation for Y(s) may be rearranged to give:
ps² + qs +r
Y(s) =
s(5s² + bs + c)
where p, q and r are constants.
Enter b:
Enter c:
Enter d:
-
Enter e:
Enter f:
Enter p:
Enter q:
Enter r:
I
Transcribed Image Text:Question 4. Let y(t) satisfy the following 2nd order ordinary differential equation: 5y" + 2y' y = 3, with initial conditions: y(0) = −2, y'(0) = 1. Let Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as: d (5s2 + bs + c)Y(s) = + e + fs, S where b, c, d, e and f are constants. The above equation for Y(s) may be rearranged to give: ps² + qs +r Y(s) = s(5s² + bs + c) where p, q and r are constants. Enter b: Enter c: Enter d: - Enter e: Enter f: Enter p: Enter q: Enter r: I
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