`(dy)/(dx)+(x y+y)/(x y+x)=0`

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

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

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

Solve: y-x(dy)/(dx)=x+y(dy)/(dx)

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

Find (dy)/(dx) if 1-x+y-x y=0

Solve: x (dy)/(dx)- y-x tan . (y/x) . = 0

Which of the following differential equations has y = x as one of its particular solution? (A) (d^2y)/(dx^2)-x^2(dy)/(dx)+x y=x (B) (d^2y)/(dx^2)+x(dy)/(dx)+x y=x (C) (d^2y)/(dx^2)-x^2(dy)/(dx)+x y=0 (D) (d^2y)/(dx^2)+x(dy)/(dx)+x y=0