Find a particular solution of the differential equation
(x ≠ 0), given that y = 0 when 
It is given that ![]()
This is equation in the form of
(where, p = cotx and Q = 4xcosecx)
Now, I.F. = ![]()
Thus, the solution of the given differential equation is given by the relation:
y(I.F.) = ![]()
![]()
![]()
![]()
-----------(1)
Now, y = 0 at x = ![]()
Therefore, equation (1), we get,
0 = ![]()
⇒ C = ![]()
Now, substituting C =
in equation (1), we get,
ysinx = ![]()
Therefore, the required particular solution of the given differential equation is
ysinx = ![]()