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

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

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

Find the differential equation for the family of curves y^2=4a (x+b) where c is an arbitrary constant.

Write the differential equation representing the curve y^(2) = 4ax , where a is an arbitrary constant.

Fill ups The differential equation of the family of curves y=asin(bx+c) , where a and c are arbitrary constants is…………… .

If y=a+bx^(2) , where a, b are arbitrary constants, then

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

Find the differential equation from the relation y=ax, where a is an arbitrary constant.

Form the differential equation of the family of curves y=Ae^(Bx) where A and B are constants.

Form the differential equation satisfied by (x-a)^2+(y-b)^2=r^2 , where a and b are arbitrary constants.