Q. 13

# 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 =

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