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Which function satisfies dy/dx = -4y for every value of… | StemPy Lab
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Which function satisfies dy/dx = -4y for every value of the constant C?
Mathematics
Easy
High School (11–12)
Functions and Calculus › Differential Equations
AP
A-Level
IB
Created by
StemPy Lab
Which function satisfies
d
y
d
x
=
−
4
y
\dfrac{dy}{dx} = -4y
d
x
d
y
=
−
4
y
for every value of the constant
C
C
C
?
y
=
−
4
C
x
y = -4Cx
y
=
−
4
C
x
y
=
C
e
−
4
x
y = Ce^{-4x}
y
=
C
e
−
4
x
y
=
C
e
4
x
y = Ce^{4x}
y
=
C
e
4
x
y
=
C
4
e
−
x
y = \dfrac{C}{4}e^{-x}
y
=
4
C
e
−
x
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← Which of these equations can be written so that all the y terms are on one side with dy and all the x terms are on the other side with dx?
A student solves dy/dx = y(y - 2) by dividing by y(y - 2) and integrating both sides. Which solutions does this method fail to find? →
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Functions and Calculus › Differential Equations
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