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A student eliminates the constants A and B from the… | StemPy Lab
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A student eliminates the constants A and B from the family y = (A + Bx)e²ˣ. Which equation does she reach?
Mathematics
Hard
High School (11–12)
Functions and Calculus › Differential Equations
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Created by
StemPy Lab
A student eliminates the constants
A
A
A
and
B
B
B
from the family
y
=
(
A
+
B
x
)
e
2
x
y = (A + Bx)e^{2x}
y
=
(
A
+
B
x
)
e
2
x
. Which equation does she reach?
y
′
′
+
4
y
′
+
4
y
=
0
y'' + 4y' + 4y = 0
y
′′
+
4
y
′
+
4
y
=
0
y
′
′
−
4
y
′
+
2
y
=
0
y'' - 4y' + 2y = 0
y
′′
−
4
y
′
+
2
y
=
0
y
′
′
−
2
y
′
+
4
y
=
0
y'' - 2y' + 4y = 0
y
′′
−
2
y
′
+
4
y
=
0
y
′
′
−
4
y
′
+
4
y
=
0
y'' - 4y' + 4y = 0
y
′′
−
4
y
′
+
4
y
=
0
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