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Mathematics
Problem
The function
y
(
x
)
=
x
e
x
2
y(x)=x e^{x^{2}}
y
(
x
)
=
x
e
x
2
satisfies exactly one of the following differential equations. Which one is it? a)
e
x
2
e^{x^{2}}
e
x
2
b)
2
x
e
x
2
2x e^{x^{2}}
2
x
e
x
2
c)
(
1
+
2
x
2
)
e
x
2
(1+2x^{2})e^{x^{2}}
(
1
+
2
x
2
)
e
x
2
d)
(
1
+
x
2
)
e
x
2
(1+x^{2})e^{x^{2}}
(
1
+
x
2
)
e
x
2
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