Differential Equations Quiz
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SECOND-ORDER LINEAR ODES
Question 1
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Consider the differential equation
y
′
′
+
β
y
′
+
γ
y
=
0
y'' + \beta y' + \gamma y = 0
y
′′
+
β
y
′
+
γ
y
=
0
where
β
2
<
4
γ
\beta^2 < 4\gamma
β
2
<
4
γ
. If one solution is
y
1
=
e
−
3
t
sin
(
2
t
)
y_1 = e^{-3t}\sin(2t)
y
1
=
e
−
3
t
sin
(
2
t
)
, what is the value of
β
+
γ
\beta + \gamma
β
+
γ
?
A
9
9
9
B
10
10
10
C
13
13
13
D
19
19
19
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