Alyssa Kritz Milliken MAT 275 Fall 2019
Assignment Section 6.5 Impulse Function due 11/12/2019 at 11:59pm MST
1. (1 point)
Use the Laplace transform to solve the following initial value
problem:
y00 −6y0−27y=δ(t−2)y(0) = 0,y0(0) = 0
y(t) = .
(Notation: write u(t-c) for the Heaviside step function uc(t)
with step at t=c.)
2. (1 point)
Use the Laplace transform to solve the following initial value
problem:
y00 +9y=9δ(t−7)y(0) = 0,y0(0) = 0
y(t) = .
(Notation: write u(t-c) for the Heaviside step function uc(t)
with step at t=c.)
3. (1 point)
Use the Laplace transform to solve the following initial value
problem:
y00 +4y0+40y=δ(t−8)y(0) = 0,y0(0) = 0
y(t) = .
(Notation: write u(t-c) for the Heaviside step function uc(t)
with step at t=c.)
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