A solution curve of the differential equ...

A solution curve of the differential equation `(x^2+xy+4x+2y+4)((dy)/(dx))-y^2=0` passes through the point `(1,3)` Then the solution curve is

A

intesects y=x+2 exactly at one points

B

interesects y=x+2 exactly at two points

C

intersects `y=(x+2)^(2)`

D

does not intersect `y=(x+3)^(2)`

Verified by Experts

The correct Answer is:

A, D

Similar Questions

Explore conceptually related problems

The differential equation x(dy)/(dx)+(3)/((dy)/(dx))=y^(2)

The general solution of the differential equation (y dx - x dy)/(y ) = 0 is

Solution of the differential equation (1+e^(x/y))dx + e^(x/y)(1-x/y)dy=0 is

A curve y=f(x) satisfy the differential equation (1+x^(2))(dy)/(dx)+2yx=4x^(2) and passes through the origin. The function y=f(x)

The solution of the differential equation 2x(dy)/(dx)-y=0,y(1)=2 represents . . . . .

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

The solution of the differential equation (y+xsqrt(xy)(x+y))dx+(ysqrtxy(x+y)-x)dy=0

Solution of the differential equation (xdy)/(x^(2)+y^(2))=((y)/(x^(2)+y^(2))-1)dx , is

Solve the differential equation (dy)/(dx)=(2y-6x-4)/(y-3x+3).

The general solution of the differential equation (dy)/(dx) = e^(x + y) is