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

The general solution of the differential equation (y dx-x dy)/y=0 is(A) x y = C (B) x=C y^2 (C) y = C x (D) y=C x^2

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

Factorise : x^(4) + y^(4) - 3x^(2)y^(2)

IF the solution of differential equation ( dy)/(dx) = ( x-y) /( x+y) is ( x+ y )^2= C + a x ^2 then a is ____

The general solution of the differential equation (y dx-x dy)/y=0 is (A) x y" "=" "C (B) x=C y^2 (C) y" "=" "C x (D) y=C x^2

The general solution of the differential equation e^x dy + (y e^x + 2x) dx = 0 is(A) xe^y+x^2=C (B) xe^y+y^2=C (C) ye^x+x^2=C (D) ye^y+x^2=C

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 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

Find the number of possible common tangents of following pairs of circles (i) x^(2)+y^(2)-14x+6y+33=0 x^(2)+y^(2)+30x-2y+1=0 (ii) x^(2)+y^(2)+6x+6y+14=0 x^(2)+y^(2)-2x-4y-4=0 (iii) x^(2)+y^(2)-4x-2y+1=0 x^(2)+y^(2)-6x-4y+4=0 (iv) x^(2)+y^(2)-4x+2y-4=0 x^(2)+y^(2)+2x-6y+6=0 (v) x^(2)+y^(2)+4x-6y-3=0 x^(2)+y^(2)+4x-2y+4=0