Find the general solution for each of the following differential equations.

Solution:

To solve (1) we will use following formula

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

Where, integrating factor,

Dividing equation (1) by ,

Comparing (2) with

Where, and
Therefore, integrating factor is


Thus

General solution is

Let



Substituting I in (3)

Multiplying above equation by