April 28
section covered in text
7.5. Solving Initial Value Problems
objective
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to be able to
use Laplace transforms to solve initial value problems
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to be able to
use Laplace transforms to solve higher order initial value problems
key ideas and/or vocabulary
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using the Laplace transform
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moving the initial conditions to t = 0
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employing Theorem 6
solved problems - using key ideas
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using Laplace transforms to solve initial value problem,
#1,5
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initial condition not at zero, #11
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solving for Y(s), piecewise continuous functions,
#21,23
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solving 3rd order initial value problem, #25
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finding a general solution with y(0) = a, y'(0) =
b, #29
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polynomial coefficients, #25
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control theory, error functions, #39,40
announcements
Homework: #2,6,12,20,24,26,30 (due 5/7)
SOLUTION.
The p-test tells us that this integral converges
for all exponents p of xp that are greater than
1.
Therefore this integral converges.
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