Drexel University, College of Engineering
2023-2024 Academic Year
Question 9:
Replace the sample plot with the correct graph for a clepsydra with four
vessels. (not 6!)
Question 5:
Record your solution for the two unknowns y
1
(
t
)
and y
2
(
t
)
. The first is given for you. Answer: y
1
(
t
)
=
e
−
t
, y
2
(
t
)
=
¿
Question 6: Record your answers for the cumulative
outflows. The first is given for free.
Answer: f
1
(
t
)
=
1
−
e
−
t
, f
2
(
t
)
=
¿
Question 7: The solution in the transform domain is: ⃗
X
(
s
)
=
[
X
1
(
s
)
X
2
(
s
)
]
where
X
1
(
s
)
=
1
s
+
1
and
X
2
(
s
)
=
¿
(s+2)/(s+1)^2
Question 8: Complete this
code to find
the cumulative flow vector ⃗
f
(
t
)
using Laplace transforms: syms s
A = [-1 0; 1 -1];
x0 = [1; 1];
X = inv(s*eye(2) - A)*x0;
F = X/s;
f = ilaplace(F);
2