$\"\"$

\

The first order differential equation is $\"\"$ .

\

$\"\"$

\

Above differential equation isin trhe form of homogeneous type.

\

Let $\"\"$

\

$\"\"$ .

\

$\"\"$

\

$\"\"$

\

The standard form of linear differentiation equation is $\"\"$ .

\

Solve the differential equation by converting into linear differentiation equation.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

The above equation is in the form of linear differentiation equation $\"\"$ .

\

The differential equation is a first order linear differential equation.

\

Solution of first order linear differential equation $\"\"$ is $\"\"$ .

\

Compare $\"\"$ with $\"\"$ .

\

Where $\"\"$ and $\"\"$ .

\

$\"\"$

\

Find $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

The solution of linear differentiation equation is $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

$\"\"$ .