ESE 406 - SPRING 2010
HOMEWORK #3
DUE 3-Feb-2009
Problem 1
You should be able to solve all parts of problems 3.2 through 3.9 in the textbook.
Submit solutions to
the following problems from the textbook:
a.
Problem 3.3(c).
Answer:
b.
Problem 3.5(e).
Answer:
c.
Problem 3.7(d).
Also make a pretty graph of f(t).
Answer:
d.
Problem 3.7(f).
Answer:
Problem 2
Solve the following problem using Laplace transforms:
2
2
11
10
4sin2
(0)
0
(0)
5
d y
dy
y
t
dt
dt
y
dy
dt
Problem 3
Create a simulink model of the differential equation you solved in the previous problem.
The model
should look like this:
Recall that the initial conditions are entered into Simulink as initial conditions in the integrators.
Under
Simulink
Simulation
Configuration Parameters, under “solver options,” select “Fixed step” from the “type” pull-
down menu and “ode1 (Euler)” from the “solver” pull-down menu.
You should also set the “stop time” to 50.0
seconds.
You will experiment with different fixed-step sizes, starting with 0.1 seconds.
The pull-down dialog
should look like this:

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