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