Which of the following statements is/are true ?

Options

A. An integrating factor of the differential equation `(dy)/(dx) + (2y)/(x) = x^(3) sin x` is `x^(2)`
B. An integrating factor of the differential equation `xdy - ydx = x^(2)y^(2)dy` is `(1)/(x^(2))`
C. An integrating factor of the differential equation `x(dy)/(dx) + xy cot x = cosec x` is sin x
D. An integrating factor of the differential equation `(y dx - x dy) = xy^(3)(xdy + y dx)` is `(1)/(y^(2))`

Answer

A, B, C, D