Step 1:

\

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

\

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

\

Solve the differential equation by converting into linear differentiation equation.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Divide each side by $\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Substitute $\"\"$ .

\

Apply derivative on each side with respect to $\"\"$ .

\

$\"\"$

\

Substitute $\"\"$ and $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

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

\

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

\

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

\

In linear differentiation substitute $\"\"$

\

$\"\"$

\

$\"\"$ .

\

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

\

$\"\"$

\

Back substitute $\"\"$ in $\"\"$ .

\

$\"\"$ .

\

Solution:

\

The equation is $\"\"$ .

\

\

\

\

\

\