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Mathematics
Mathematics
Problem
Explain why a solution
y
(
x
)
y(x)
y
(
x
)
to
d
y
d
x
=
y
2
\dfrac{dy}{dx}=y^{2}
d
x
d
y
=
y
2
that satisfies
y
(
0
)
=
−
2
y(0)=-2
y
(
0
)
=
−
2
cannot attain the value
y
=
0
y=0
y
=
0
for any
x
x
x
in an open interval containing
x
=
0
x=0
x
=
0
.
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