Solve that any equation of the fomr `yf'(xy)dx+xf'(xy)dy=0`

Solve the differential equation y e^(x/y) dx = (x e^(x/y) + y^(2))dy ( y ne 0) .

A homogeneous differential equation of the from (dx)/(dy) = h((x)/(y)) can be solved by making the substitution.

Solve the differential equation (x dy - y dx) y sin ((y)/(x)) = (y dx + x dy) x cos ((y)/(x)) .

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

The solution of x^(2)dy-y^(2)dx+xy^(2)(x-y)dy=0, is

Show that the differential equation x cos ((y)/(x))(dy)/(dx) = y cos ((y)/(x)) + x is homogeneous and solve it.

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

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

Solve (2x+3y-1)dx+(4x+6y-5)dy=0 .