Home
Class 12
MATHS
The differential equation (dy)/(dx)=(sqr...

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

A

A) variable radii and a fixed centre at (0,1)

B

B) variable radii and fixed centre at (0,-1)

C

C) fixed radius 1 and variable centres along the x-axis

D

D) fixed radius 1 and variable centers along the y-axis

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

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

The general solution of the differential equation dy/dx = (1-x)/y is a family of curves which look like which of the following :

Solve the differential equation (dy)/(dx)=(x+2y-1)/(x+2y+1).

Form the differential equation of y=px+(p)/(sqrt(1+p^(2).

Solve the differential equation (dy)/(dx)=(2y-6x-4)/(y-3x+3).

Find the general solution of the differential equation (dy)/(dx) + sqrt((1 - y^(2))/(1 - x^(2))) = 0 .

Statement I Integral curves denoted by the first order linear differential equation (dy)/(dx)-(1)/(x)y=-x are family of parabolas passing throught the origin. Statement II Every differential equation geomrtrically represents a family of curve having some common property.

solve the differential equation (dy)/(dx)=(-3x-2y+5)/(2x+3y+5), is given by

Find the particular solution of the differential equation (dy)/(dx) = - 4xy^(2) given that y = 1, when x = 0.

The curve satisfying the differential equation (dy)/(dx)=(y(x+y^(3)))/(x(y^(3)-x)) and passing through (4,-2) is