Find a particular solution satisfying the given condition for each of the following differential equations.

, given that

Given Differential Equation :



Formula :


i)


ii)


iii)


iv) General solution :


For the differential equation in the form of



General solution is given by,



Where, integrating factor,



Answer :


Given differential equation is


………eq(1)


Equation (1) is of the form



Where, and


Therefore, integrating factor is




………


= sin x ………


General solution is






………



Therefore general equation is



For particular solution put y=0 and in above equation,





Therefore, particular solution is



1