Differential Equations Quiz
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LAPLACE TRANSFORMS
Question 1
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Find the inverse Laplace transform of
F
(
s
)
=
s
2
−
s
−
6
(
s
+
1
)
(
s
2
−
4
)
F(s) = \frac{s^2-s-6}{(s+1)(s^2-4)}
F
(
s
)
=
(
s
+
1
)
(
s
2
−
4
)
s
2
−
s
−
6
.
A
4
3
e
−
t
−
1
3
e
2
t
\frac{4}{3}e^{-t} - \frac{1}{3}e^{2t}
3
4
e
−
t
−
3
1
e
2
t
B
4
3
e
−
t
−
1
3
e
2
t
−
2
3
e
−
2
t
\frac{4}{3}e^{-t} - \frac{1}{3}e^{2t} - \frac{2}{3}e^{-2t}
3
4
e
−
t
−
3
1
e
2
t
−
3
2
e
−
2
t
C
5
3
e
−
t
+
1
3
e
2
t
\frac{5}{3}e^{-t} + \frac{1}{3}e^{2t}
3
5
e
−
t
+
3
1
e
2
t
D
e
−
t
+
e
2
t
−
e
−
2
t
e^{-t} + e^{2t} - e^{-2t}
e
−
t
+
e
2
t
−
e
−
2
t
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