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

Solution:

General solution for the differential equation in the form of is given by,

Where, integrating factor,

Dividing equation by we get

Equation (2) is of the form

Where, and
Therefore, integrating factor is

General solution is

Dividing above equation by ,

For particular solution put and in above equation
Therefore, particular solution is