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Unformatted text preview: Friday, 10/14/11 Diﬀerential Equations — Fall 2011 Inclass review for Sections 7.2–7.5
1 Find the Laplace transform of the solution y to the initial value problem
y + 2y + 2y = 2 1 for 0 ≤ t ≤ 7,
;
t for t > 7. y (0) = 2, Suppose that
L {y } = (s2 2s − 7
.
− 2s + 5)(s − 1) What is y ? More problems on the back... y (0) = 1. Friday, 10/14/11 Diﬀerential Equations — Fall 2011
3 Find a ﬁrstorder diﬀerential equation for the Laplace transform of the
solution y to the initial value problem
y + ty + 2y = e3t ; y (0) = y (0) = 0. Hint: let Y (s) denote the Laplace transform of y . Your answer will
include Y (s) and Y (s). 4 Suppose that
L {y } =
What is y ? s2 − s + 1
.
s4 − s3 + s2 − s ...
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This note was uploaded on 12/10/2011 for the course MAP 2302 taught by Professor Tuncer during the Fall '08 term at University of Florida.
 Fall '08
 TUNCER

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