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Mathematics
Problem
The differential equation
d
x
d
y
=
3
y
2
x
\frac{dx}{dy} = \frac{3y}{2x}
d
y
d
x
=
2
x
3
y
represents a family of hyperbolas (except when it represents a pair of lines) with eccentricity a.
7
3
\sqrt{\frac{7}{3}}
3
7
b.
5
3
\sqrt{\frac{5}{3}}
3
5
c.
3
2
\sqrt{\frac{3}{2}}
2
3
d.
5
2
\sqrt{\frac{5}{2}}
2
5
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