Solutions of linear differential equation of first order and first degree

[1] A differential equation of the from

 Where p,q are constants or functions of x,  is known as a first order linear differential equation.

Integrating Factor(I.F.) of the given differential equation = g(x) 

Write the solution of the given differential equation as

The  general solution of the given differential equation as

[2] A differential equation of the from

 Where p,q are constants or functions of y,  is known as a first order linear differential equation.

 

Write the solution of the given differential equation as

The  general solution of the given differential equation as

Example :

Solve the following differential equation: