Step 1:

The differential equation is $\"\"$ .

Use linear method of differential equation :

$\"\"$ is the standard form of first - order linear differential equation.

Where P and Q are continuous functions of x.

To solve the linear differential equation.

(1) $\"\"$ is the integration factor.

(2) $\"\"$ is the general solution of the differential equation.

Step 2:

The differential equation is $\"\"$ .

Convert this equation into standard form of first - order linear differential equation.

$\"\"$

From above, $\"\"$ .

Solve the linear differential equation $\"\"$ .

(1)

Find the integration factor.

$\"\"$

Step 3:

(2)

Find the general solution.

Now solve for $\"\"$ .

$\"\"$

Consider $\"\"$

$\"\"$

Substitute $\"\"$ and $\"\"$

$\"\"$

Substitute $\"\"$ in the above expression.

$\"\"$ .

Substitute the values $\"\"$ in the general solution.

$\"\"$

Solution :

The general solution of the differential equation is $\"\"$ .