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A student solves dy/dx = y(y - 2) by dividing by y(y… | StemPy Lab
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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?
Mathematics
Medium
High School (11–12)
Functions and Calculus › Differential Equations
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A student solves
d
y
d
x
=
y
(
y
−
2
)
\dfrac{dy}{dx} = y(y - 2)
d
x
d
y
=
y
(
y
−
2
)
by dividing by
y
(
y
−
2
)
y(y - 2)
y
(
y
−
2
)
and integrating both sides. Which solutions does this method fail to find?
y
=
0
y = 0
y
=
0
and
y
=
2
y = 2
y
=
2
y
=
0
y = 0
y
=
0
only
y
=
2
y = 2
y
=
2
only
None, because the method finds every solution
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