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

Form the differential equation corresponding to y=a x^2+b x+c

Form the differential equation corresponding to the curve y=mx

From a differential equation representing the given family of curves by eliminating the arbitrary constains a and b x/a + y/b = 1

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

The differential equation representing the family of curves y^(2) = a(ax + b) , where a and b are arbitrary constants, is of

Find the Differential equation satisfying the family of curves y^2=a(b^2-x^2) ,a and b are arbitrary constants.

Find the differential equation satisfying y=e^(2x)(a+ bx ) ,a and b are arbitrary constants.

solve the differential equation (x^2+x y) d y=(x^2+y^2) d x