For each of the differential equations given in question, find a particular solution satisfying the given condition:

It is given that ![]()
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This is equation in the form of
(where, p =
and Q =
)
Now, I.F. = ![]()
Thus, the solution of the given differential equation is given by the relation:
y(I.F.) = ![]()
![]()
![]()
----------------(1)
Now, it is given that y = 0 at x = 1
0 = tan-1 1+ C
⇒ C = ![]()
Now, Substituting the value of C =
in (1), we get,
![]()
Therefore, the required general solution of the given differential equation is
![]()