The form of the differential equation of the central conics `a x^2+b y^2=1` is

The form of the differential equation of the central conics, is

Form the differential equation of y=a(x+b) , where a,b are constants.

The solution of the differential equation y_1y_3=y_2^2 is

Form the differential equation of y=px+(p)/(sqrt(1+p^(2).

Solve the differential equation x (1 + y^2) dx - y (1 + x^2) dy = 0

Solve the differential equation y^(2)(dx)/(dy) + x = 1 .

Form the differential equation of the family curves having equation y=(sin^(-1)x)^(2)+Acos^(-1)x+B .

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

Solve the differential equation (2 + x) dy = (1 + y) dx

Form the differential equation from the following primitives where constants are arbitrary: y=a x^2+b x+c