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

Find the differential equation corresponding to jy=ae^(2x)+be^(-3x)+ce^(x) where a,b,c are arbitrary constants.

Form the differential equation for the curve: y=Ax^2+Bx , where a and b are arbitrary constant.

Find the differential equation corresponding to y=cx+c-c^(3) , where c is arbitrary constant.

Find the differential equation corresponding to y=cx^(3) , where c is arbitrary constant.

Form the differential equation corresponding to y^(2)=a(b-x^(2)) by eliminating a and b.

Form the differential equation for the family of curves y^2= 4a (x+b) where a and b arbitrary constants.

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

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

Form the differential equation corresponding to y^(2)=a(b-x)(b+x) by eliminating parameters a and b