Solve `sin y. (dy)/(dx)=cos y(1-xcosy).`

(x + y )(dy)/(dx) = 1

Solve (dy)/(dx)+2y=cos x.

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

Solve (dy)/(dx)=sin^(2) (x+3y)+5

If x and y are connected parametrically by the equations without eliminating the parameter, find (dy)/(dx) x = cos theta - cos 2 theta, y= sin theta- sin 2 theta

If cos y= x cos (a + y) , with cos a ne +- 1 , prove that (dy)/(dx) = (cos^(2) (a + y))/(sin a)

Solve (dy)/(dx) + x sin 2y = x^(3) cos^(2) y

Find (dy)/(dx) if y+ sin y= cos x

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