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A cooling model has the family of curves y = Ce⁻²ˣ… | StemPy Lab
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A cooling model has the family of curves y = Ce⁻²ˣ where C is an arbitrary constant. Which equation does every curve of the family satisfy?
Mathematics
Easy
High School (11–12)
Functions and Calculus › Differential Equations
AP
A-Level
IB
Created by
StemPy Lab
A cooling model has the family of curves
y
=
C
e
−
2
x
y = Ce^{-2x}
y
=
C
e
−
2
x
where
C
C
C
is an arbitrary constant. Which equation does every curve of the family satisfy?
y
′
+
2
y
=
0
y' + 2y = 0
y
′
+
2
y
=
0
y
′
−
2
y
=
0
y' - 2y = 0
y
′
−
2
y
=
0
y
′
+
2
=
0
y' + 2 = 0
y
′
+
2
=
0
y
′
′
+
2
y
=
0
y'' + 2y = 0
y
′′
+
2
y
=
0
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