For each of the differential equations given in question, find the general solution:

It is given that ![]()
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This is equation in the form of
(where, p =
and Q = 1 )
Now, I.F. = ![]()
Thus, the solution of the given differential equation is given by the relation:
x(I.F.) = ![]()
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⇒ y(xsinx) = -xcosx + sinx + C
⇒ ![]()
⇒ ![]()
Therefore, the required general solution of the given differential equation is
.