The differential equation (dx)/(dy)=(3y)...

The differential equation `(dx)/(dy)=(3y)/(2x)` represents a family of hyperbolas (except when it represents a pair of lines) with eccentricity.

A

`sqrt(3/5`

B

`sqrt(5/3)`

C

`sqrt(5/4)`

D

`sqrt5`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

The differential equation y(dy)/(dx)+x=c represents

The solution of the differential equation x(dy)/(dx)-y=3 represents a family of

The solution of the differential equation x(dy)/(dx)-y=3 represents is a family of

The solution of the differential equations 2x(dy)/(dx)-y=3 re[resemts a family of :

Solve the differential equation (dy)/(dx) + (y)/(x) =2 x^(3)

The differential equation : (dy)/(dx)=(sqrt(1-y^2))/y determines a family of circles with :

Solve the differential equation (dy)/(dx) + 3y = e^(-3x)

The solution of the differential equation 2x dy/dx-y=3 represent

The solution of the differential equation (dy)/(dx)=(x+y)^(2) is