The differential equation represents a family of hyperbolas (except when it…

MATHEMATICS · Single correct · CBSE · Mathematics · Differential Equations · Differential Equations

Problem

The differential equation

\frac{dx}{dy} = \frac{3y}{2x}

represents a family of hyperbolas (except when it represents a pair of lines) with eccentricity (1)

\sqrt{\frac{7}{3}}

(2)

\sqrt{\frac{5}{3}}

(3)

\sqrt{\frac{3}{2}}

(4)

\sqrt{\frac{5}{2}}