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

(dy)/(dx)=(x+2)/(2y-3)

(dy)/(dx)=(x^(2)-y^(2))/(xy)

Show that the differential equation x^(2)(dy)/(dx)=(x^(2)-2y^(2)+xy) is homogenous and solve it.

Find (dy)/(dx) , If a=(x^(2)+y^(2))

The general solution of (dy)/(dx) = 1 - x^(2) -y^(2) + x^(2) y^(2) is

Solve: (y)/(x)(dy)/(dx)+(2(x^(2)+y^(2))-1)/(x^(2)+y^(2)+1)=0

The differential equations of all circle touching the x-axis at orgin is (a) (y^(2)-x^(2))=2xy((dy)/(dx)) (b) (x^(2)-y^(2))(dy)/(dx)=2xy ( c ) (x^(2)-y^(2))=2xy((dy)/(dx)) (d) None of these

The first integral of (dy)/(dx)((d^(2)y)/(dx^(2)))-x^(2)y((dy)/(dx))=xy^(2) will be