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Mathematics
Problem
Let
y
=
y
(
x
)
y=y(x)
y
=
y
(
x
)
be the solution of the differential equation
(
x
+
1
)
y
′
−
y
=
e
3
x
(
x
+
1
)
2
(x+1)y' - y = e^{3x}(x+1)^2
(
x
+
1
)
y
′
−
y
=
e
3
x
(
x
+
1
)
2
, with
y
(
0
)
=
1
3
y(0)=\frac{1}{3}
y
(
0
)
=
3
1
. Then, the point
x
=
−
4
3
x=-\frac{4}{3}
x
=
−
3
4
for the curve
y
=
y
(
x
)
y=y(x)
y
=
y
(
x
)
is : (1) not a critical point (2) a point of local minima (4) a point of inflection
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