The differential equation satistied by t...

The differential equation satistied by the family of curves `y-axcos(1/x+b)`, where a,b are parameters, is

A

`x^2 y_2+y=0`

B

`x^4 y_2 +y=0`

C

`xy_2-y=0`

D

`x^4 y_2-y=0`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

Find the order of the differential equation of the family of curves. y=asinx+bcos(x+c) , where a,b,c are parameters.

The differential equation of the family of curves y=a cos (x + b) is

Find the differential equation of the family of curves y=asin(bx+c) , where a,b,c are parameters.

Form the differential equation representing the family of curves y=A cos(x+B) where AS and B are parameters.

Find the differential equation of the family of curves y=Acosx+Bsinx , where A, B are parameters.

From the differential equation of the family of curves, y=a sin(bx+c), where a and c are parameters.

The differential equation of the family of curves y^(2)=4xa(x+1) , is

From the differential equation for the family of the curves (y-b)^(2)=4(x-a), where a and b are parameters.

Form the differential equation representing the family of curves y = a sin x + b cos x , where a, b are the arbitrary constants.