BME 171, Sec 2: Homework 2 Solutions
due Tue, Sep 16 by 5pm
1. Consider a system governed by the second-order dierential equation
a
dy (t)
d2 y (t)
+b
+ cy (t) = x(t),
dt
dt
where a, b and c are nonnegative real numbers.
(a) Show that this system is LTI.
BME 171 Fall 2008 Homework 1 Solutions 100 points total Problem 1 Part A 20 points 4 points per plot for correct line shape, 1 point per plot for labeled axes Any code that generates the requested plots is acceptable Correct figures:
Example of code:
n =
Exam III: Solutions
BME 171-02, Signals and Systems Exam III: Solutions 100 points total
0. (5 pts.) Laplace transform tables. 1. (20 pts.) A signal x(t) has Laplace transform X(s) = s+2 s2 + 4s + 5
Find the Laplace transforms of the following signals wit
Exam I: Solutions
BME 171-02, Signals and Systems Exam I: Solutions 100 points total
1. (15 pts.) Fill in the following table (for each column, give a yes/no answer and briey justify it):
System
Linear
Time-invariant
Causal
y(t) = 3x(t) cos(t)
yes
no
yes
BME 171, Sec 2: Homework 2 Solutions
due Tue, Sep 16 by 5pm
1. Consider a system governed by the second-order dierential equation
a
dy (t)
d2 y (t)
+b
+ cy (t) = x(t),
dt
dt
where a, b and c are nonnegative real numbers.
(a) Show that this system is LTI.
BME 171 Fall 2008
Homework 1 Solutions
100 points total
Problem 1 Part A
20 points
4 points per plot for correct line shape, 1 point per plot for labeled axes
Any code that generates the requested plots is acceptable
Correct figures:
Example of code:
n =
Exam III: Solutions
BME 171-02, Signals and Systems
Exam III: Solutions
100 points total
0. (5 pts.) Laplace transform tables.
1. (20 pts.) A signal x(t) has Laplace transform
X (s) =
s+2
s2 + 4s + 5
Find the Laplace transforms of the following signals wi
Exam I: Solutions
BME 171-02, Signals and Systems
Exam I: Solutions
100 points total
1. (15 pts.) Fill in the following table (for each column, give a yes/no answer and briey
justify it):
System
Linear
y (t) = 3x(t) cos(t)
Time-invariant
Causal
yes
no
yes
Exam I: Solutions
BME 171-02, Signals and Systems
Exam I: Solutions
100 points total
1. (15 pts.) Fill in the following table (for each column, give a yes/no answer and briey
justify it):
System
Linear
y (t) = 3x(t) cos(t)
Time-invariant
Causal
yes
no
yes
Exam III: Solutions
BME 171-02, Signals and Systems
Exam III: Solutions
100 points total
0. (5 pts.) Laplace transform tables.
1. (20 pts.) A signal x(t) has Laplace transform
X (s) =
s+2
s2 + 4s + 5
Find the Laplace transforms of the following signals wi
BME 171 Fall 2008
Homework 1 Solutions
100 points total
Problem 1 Part A
20 points
4 points per plot for correct line shape, 1 point per plot for labeled axes
Any code that generates the requested plots is acceptable
Correct figures:
Example of code:
n =
BME 171, Sec 2: Homework 2 Solutions
due Tue, Sep 16 by 5pm
1. Consider a system governed by the second-order dierential equation a dy(t) d2 y(t) +b + cy(t) = x(t), dt dt
where a, b and c are nonnegative real numbers. (a) Show that this system is LTI. (5