Form the differential equation represent...

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

Verified by Experts

The correct Answer is:

`(d^(2)y)/(dx^(2)) + y = 0`

Similar Questions

Explore conceptually related problems

Form the differential equation representing the given family of curves y= asin(x+b) where a,b are arbitrary constants.

Find the differential equation representing the family of curves y=asin (x+b), where a,b are arbitrary constants.

Form the differential equation representing the family of curves y= asin(x+b) where a,b are arbitrary constant.

Form the differential equation representing family of curve (x)/(a)+(y)/(b) =1 where a and b are arbitrary constants .

The differential equation corresponding to the family of curves y=e^x (ax+ b) is

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

The differential equation which represents the family of curves y=c_1e^(c_2x) where c_1 and c_2 are arbitrary constants , is :