`(dy)/(dx)=(x+x^(2))/(y-y^(2))`

The family of curves represented by (dy)/(dx)=(x^(2)+x+1)/(y^(2)+y+1) and the family represented by (dy)/(dx)+(y^(2)+y+1)/(x^(2)+x+1)=0

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

Solve the following differential equation: (dy)/(dx)=(x\ (2y-x))/(x\ (2y+x)),\ if \ \ y=1\ when x=1

The solution of the differential equation (dy)/(dx)=(x^2+x y+y^2)/(x^2), is a.) tan^(-1)(x/y)=logy+C b.) tan^(-1)(y/x)=logx+C c.) tan^(-1)(x/y)=logx+C d.) tan^(-1)(y/x)=logy+C

General solution of differential equation x^(2)(x+y(dy)/(dx))+(x(dy)/(dx)-y)sqrt(x^(2)+y^(2))=0 is

Solve (dy)/(dx)=((x+y)^2)/((x+2)(y-2))

(dy)/(dx)+(x-2y)/(2x-y)=0

Solve y-x(dy)/(dx)=a(y^(2)+(dy)/(dx))

If x(dy)/(dx)=x^(2)+y-2, y(1)=1 , then y(2) equals ………………..