Find differential equation corresponding to equation y = a sin(mx + b), where a, m, b arbitrary constants

Form the differential equation corresponding to y^2=a(b-x)^2 ,where a and b are arbitrary constant.

On finding the differential equation corresponding to y=e^(mx) where m is the arbitrary constant, then m is _________.

Find the differential equation corresponding to curve y=A sin x+Bcos x+x sin x , where A and B are arbitrary constants.

Form the differential equation corresponding to y^(2)=a(b-x)^(2), where a and b are arbitrary constant.

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

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

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

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

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