Find the differential equation represents the `y=asin(x+b)` of the curve, where `a`,`b` are the arbitrary constants.

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

Find the differential equation representing the family of curves y=ae^(bx+5), where a and b are arbitrary constants.

Find the differential equation representing the family of curves y=a.e^(2x)+5 , where a is an arbitrary constant.

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

Form the differential equation representing the family of curves ax+by=0 , when 'a' and 'b' are arbitrary constants.

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

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

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

Find the differential equation corresponding to the family of curves y=c(x-c)^2 where c is an arbitrary constant.

Form the differential equation representing the family of curves y=(A)/(x)+5 , by eliminating the arbitrary constant A.