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

Form the differential equation representing the family of curve y=asin(x+b) , where a and b are artibrary constants.

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

Find the differential equation of the family of curves ( x- a)^2 + ( y - b)^2 = r^2 , where a and b are arbitrary constants.

Form the differential equation representing the family of curves y = mx , where, m is arbitrary constant.

Form the differential equation representing the family of curves given by (x-a)^2 + 2y^2 = a^2 , where a is an arbitrary constant.

Find the differential equation which representing the family of curve y=A cos 2x + B sin 2x , where A and B are constants.