Let y(t) satisfy the following 2nd order ordinary differential equation: y" - y'= 3, with initial conditions: y(0) = -5, y'(0) = 2. Let Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as: d (s²+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(s² + bs + c) P, q and r are constants. where Enter b: Enter c: Enter d: Enter e: Enter f: Enter p: Enter q: Enter r: I
Let y(t) satisfy the following 2nd order ordinary differential equation: y" - y'= 3, with initial conditions: y(0) = -5, y'(0) = 2. Let Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as: d (s²+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(s² + bs + c) P, q and r are constants. where Enter b: Enter c: Enter d: Enter e: Enter f: Enter p: Enter q: Enter r: I
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:Let y(t) satisfy the following 2nd order ordinary differential equation:
y" - y'= 3,
with initial conditions: y(0) = −5, y'(0) = 2.
Let Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as:
d
(s²+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(s² + 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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