The solution of differential equation `xy^2(y_1^2+2)=2y_1y^3+x^3`, is (A) `(x+y-a)(x^2-y^2-bx^2)=0` (B) `(x^2-y^2-a)(x^2-y^2+bx^4)=0` (C) `(x^2+y^2-a)(x^2+y^2-bx^4)=0` (D) none of these

The solution of differential equation (2y+x y^3)dx+(x+x^2y^2)dy=0 is

The solution of the differential equation y(xy + 2x^2y^2) dx + x(xy-x^2y^2)dy = 0 is given by

The solution of the differential equation (dy)/(dx)=(3x^2y^4+2x y)/(x^2-2x^3y^3) is

The solution of the differential equation {1/x-y^(2)/(x-y)^(2)}dx+{x^(2)/(x-y)^(2)-1/y}dy=0 is

The general solution of the differential equation y dx+(x+2y^2)dy=0 is a) x y+y^2=c b) 3x y+y^2=c c) x y+2y^3=c d) 3x y+2y^3=c

The solution of the differential equation (dy)/(dx)+(x(x^(2)+3y^(2)))/(y(y^(2)+3x^(2)))=0 is (a) x^(4)+y^(4)+x^(2)y^(2)=c (b) x^(4)+y^(4)+3x^(2)y^(2)=c (c) x^(4)+y^(4)+6x^(2)y^(2)=c (d) x^(4)+y^(4)+9x^(2)y^(2)=c

The solution of the equation dy/dx=x^3y^2+xy is (A) x^2y-2y+1=cye^(-x^2/2) (B) xy^2+2x-y=ce^(-y/2) (C) x^2y-2y+x=cxe^(-y/2) (D) none of these

The solution of dy/dx+(xy^2-x^2y^3)/(x^2y+2x^3y^2)=0 , is (A) log(y^2/x)-1/(xy)=C (B) log(x/y)+y^2/x=C (C) log(x^2y)+y^2/x=C (D) none of these

For the differential equation (x^2+y^2)dx-2xy dy=0 , which of the following are true. (A) solution is x^2+y^2=cx (B) x^2-y^2=cx (C) x^2-y^2=x+c (D) y(0)=0

(x+y)^3−(x−y)^3 can be factorized as (a) 2y(3x^2+y^2) (b) 2x(3x^2+y^2) (c) 2y(3y^2+x^2) (d) 2x(x^2 +3y^2)