Solve `(x+y) dy - (y-x) dx=0`

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

Show that each of the following differential equations is homogeneous and solve each of them : (x+y)dy-(y-x)dx=0

Solve (x-y)dy=(x+y+1)dx

Solve: (x-y)(dy)/(dx)=x+3y

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

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

Solve: (x-y^3)(dy)/(dx)+y=0

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

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

Solve: (2x ^ (2) y ^ (2) + y) dx + (3x-x ^ (3) y) dy = 0