For the differential equation whose solution is `(x-h)^2+(y-k)^2=a^2` `(a` is a constant), its (a) order is 2 (b) order is 3 (c) degree is 2 (d) degree is 3

The differential equation whose solution is A x^2+B y^2=1 , where A and B are arbitrary constants, is of (a) second order and second degree (b) first order and second degree (c) first order and first degree (d) second order and first degree

The differential equation representing the family of curves y^2=2c(x+sqrt(c)), where c is a positive parameter, is of (A) order 1 (B) order 2 (C) degree 3 (D) degree 4

The degree of the differential equation (y' - 2y '' ) ^(2) = (y')^(4) :

The degree of the differential equation (d^(2)y)/(dx^(2))+3((dy)/(dx))^(2)=x^(2) is

The order of the differential equation 2x^(2)(d^(2)y)/dx^(2)-3(dy)/(dx)+y=0 is

The degree of the differential equation satisfying sqrt(1-x^2)+sqrt(1-y^2)=a(x-y) is (a) 1 (b) 2 (c) 3 (d) none of these

The differential equation of all parabolas each of which has a latus rectum 4a and whose axes are parallel to the x-axis is (a) of order 1 and degree 2 (b) of order 2 and degree 3 (c) of order 2 and degree 1 (d) of order 2 and degree 2

The degree of the differential equation rho= (1+((dy)/(dx))^(2))^(3/2)/((d^(2)y)/(dx^(2))) where rho is a constant is :

The order and degree of the differential equation y'' (y - (y')^(3))^(2/3) are :

The order and degree of the differential equation [x+y']^(2)=(y')^(2)