The differential equation of the family ...

The differential equation of the family of parabolas with focus at the origin and the X-axis as axis, is

A

`y("dy"/"dx")^2+4x(dy)/(dx)=4y`

B

`-y("dy"/"dx")^2 =2x"dy"/"dx"-y`

C

`y("dy"/"dx")^2+y=2xy"dy"/"dx"`

D

`y("dy"/"dx")^2 + 2xy "dy"/"dx"+y=0`

Text Solution

Verified by Experts

The correct Answer is:

B

Topper's Solved these Questions

DIFFERENTIAL EQUATIONS
TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos
DIFFERENTIAL EQUATIONS
TARGET PUBLICATION|Exercise CRITICAL THINKING|99 Videos
DEFINITE INTEGRALS
TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos
DIFFERENTIATION
TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

Similar Questions

Explore conceptually related problems

The differential equation of the family of parabola with focus at the origin and the x-axis an axis, is

If m and n are respectively the order and degree of the differential equation of the family of parabolas with focus at the origin and X-axis as its axis , the mn-m + n=

Form the differential equation of the family of parabolas with focus at the origin and the axis of symmetry along the axis.

Statement 1 : The order of the differential equation of the family of parabola with focus at origin and axis along x - axis is 1. because Statement 2 : A parabola is symmetric about its axis.

From the differential equation of the family of parabolas with focus at the origin and axis of symmetry along the x-axis. Find the order and degree of the differential equation.

Form the differential equation of the family of all the parabolas whose vertex is at origin and axis is y-axis.

The order of the differential equation of the family of parabolas whose axis is the X-axis is

From the differential equation of the family of all parabolas having vertex at the origin and axis along the positive direction of the x-axis is given by

The order and degree of the differential equation of the family of parabolas having vertex at origin and axis along positive x-axis is

Form the differential equation of the family of parabolas having vertex at origin and axis along positive y-axis.

TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING

The differential equation satistied by the family of curves y-axcos(1/...
Text Solution
|
Form the differential equation representing the parabolas having ve...
Text Solution
|
The differential equation of the family of parabolas with focus at the...
Text Solution
|
If m and n are respectively the order and degree of the differential e...
Text Solution
|
The differential equation of all parabolas having their axes of symmet...
Text Solution
|
All parabolas whose axis is the Y-axis.
Text Solution
|
Form the differential equation of the family of circles touching th...
Text Solution
|
Form the differential equation of the family of circles touching th...
Text Solution
|
The differential equation of the family of circles passing through the...
Text Solution
|
Find the differential equation of all straight lines, which are at a u...
Text Solution
|
The solution of the differential equation sec x dy - "cosec " y dx =...
Text Solution
|
What is the solution of the differential equation (dy)/(dx)=xy+x+y+1...
Text Solution
|
The solution of the differential equation 9y"dy"/"dx"+4x=0 is
Text Solution
|
The solution of the differential equation (1+y^2)tan^(-1) x dx +(1+x^...
Text Solution
|
Solution of the differential equation x("dy"/"dx")^2 + 2 sqrt(xy) "dy"...
Text Solution
|
The order of the differential equation (dx)/x +(dy)/y = 0 is
Text Solution
|
The solution of the differential equation x(dy)/(dx)-y+3=0 represents ...
Text Solution
|
Solution of the differential equation (dy)/(dx)=(y(1+x))/(x(y-1)) is
Text Solution
|
The solution of the differential equation y (1 + log x) (dx)/(dy) - x ...
Text Solution
|
The solution of the differential equation y - x ( dy)/(dx) = a ( y...
Text Solution
|