Differential Equations Quiz
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FIRST-ORDER DIFFERENTIAL EQUATIONS
Question 1
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For which of the following non-exact differential equations can an integrating factor
μ
(
x
)
\mu(x)
μ
(
x
)
, which depends only on
x
x
x
, be found?
A
(
y
)
d
x
+
(
2
x
y
−
e
−
2
y
)
d
y
=
0
(y)dx + (2xy-e^{-2y})dy=0
(
y
)
d
x
+
(
2
x
y
−
e
−
2
y
)
d
y
=
0
B
(
2
x
+
y
2
)
d
x
+
(
2
x
y
)
d
y
=
0
(2x+y^2)dx + (2xy)dy = 0
(
2
x
+
y
2
)
d
x
+
(
2
x
y
)
d
y
=
0
C
(
x
y
)
d
x
+
(
y
2
+
1
)
d
y
=
0
(xy)dx + (y^2+1)dy=0
(
x
y
)
d
x
+
(
y
2
+
1
)
d
y
=
0
D
(
y
2
+
x
)
d
x
+
x
y
d
y
=
0
(y^2+x)dx + xy \, dy = 0
(
y
2
+
x
)
d
x
+
x
y
d
y
=
0
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