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 =