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Mathematics
Problem
The differential equation
d
y
d
x
=
y
−
x
2
\dfrac{dy}{dx}=y-x^{2}
d
x
d
y
=
y
−
x
2
models a family of solution curves. At the point
(
1
,
1
)
(1,1)
(
1
,
1
)
on one such curve, determine whether the curve is concave up or concave down.
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