first order first degree equation `(dy)/(dx)=y/(2x)+(x^2)/(2y)`

Find the order and degree of the equation x(dy)/(dx) + y^(2) + 3y((d^2y)/(dx^2))^2 =0

Find order & degree of equation xy ((d^2y)/dx^2)+x(dy/dx)^2-y(dy/dx)=0 ,

Find the order and degree of the equation x^(2)(dy)/(dx) = y^(2) + 3xy((d^2y)/(dx^2))^3

The degree and order of the differential equation y =x((dy)/(dx))^(2) + ((dx)/(dy))^(2) are respectively:

What are the degree and order respectively for the differential equation y = x ((dy)/(dx))^(2) + ((dx)/(dy))^(2) ?

The degree and order of differential equatiion (x+y(dy)/(dx))^((1)/(2))=(x sin x((dy)/(dx))^(2)+y)/(((dy)/(dx))^(3)) is :

STATEMENT -1 : The differential equation (dy)/(dx) = (2xy)/(x^(2) + y^(2)) Can't be solved by the substitution x = vy. and STATEMENT-2 : When the differential equation is homogeneous of first order and first degree, then the substitution that solves the equation is y = vx.

STATEMENT -1 : The differential equation (dy)/(dx) = (2xy)/(x^(2) + y^(2)) Can't be solved by the substitution x = vy. and STATEMENT-2 : When the differential equation is homogeneous of first order and first degree, then the substitution that solves the equation is y = vx.