1/18/2013
MATH 4512 - QUIZ 1 - SOLUTIONS
1. (20) Find the solution of the initial value problem using the Laplace transform,
y + y = 2 cos t,
with y (0) = 1,
y (0) = 0
Solution:
You need
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2/15/2013
MATH 4512 - MIDTERM 1 - SOLUTIONS
1. (25) Find the solution of the initial value problem using the Laplace transform,
y + 3y + 2y = f (t),
with
y (0) = 0,
y (0) = 0,
where
1,
if
0 t < 10
0,
2/1/2013
MATH 4512 - QUIZ 2 - SOLUTIONS
1. (20) Consider the initial value problem with impulse functions,
y + y = (t ) (t 3 ),
with y (0) = 0,
y (0) = 0,
(a) (15) Find the solution using the Laplace
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