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Mathematics
Problem
For the differential equation
d
y
d
x
=
2
x
y
−
3
\dfrac{dy}{dx}=\dfrac{2x}{y-3}
d
x
d
y
=
y
−
3
2
x
, which of the following represents the general solution? a)
(
y
−
3
)
2
=
4
x
2
+
C
(y-3)^{2}=4x^{2}+C
(
y
−
3
)
2
=
4
x
2
+
C
b)
(
y
−
3
)
2
=
2
x
2
+
C
(y-3)^{2}=2x^{2}+C
(
y
−
3
)
2
=
2
x
2
+
C
c)
y
−
3
=
2
x
2
+
C
y-3 = 2x^{2}+C
y
−
3
=
2
x
2
+
C
d)
(
y
−
3
)
2
=
x
2
+
C
(y-3)^{2}=x^{2}+C
(
y
−
3
)
2
=
x
2
+
C
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