Step 1 :

The differential equation is $\"\"$ .

The function is $\"\"$ .

Apply derivative on each side with respect to x.

$\"\"$

Apply product rule of derivatives : $\"\"$ .

$\"\"$

Multiply each side by x.

$\"\"$

Since above equation is matches with the given differential equation, the function $\"\"$ is a solution of the differential equation $\"\"$ .

Solution :

The function $\"\"$ is a solution of the differential equation $\"\"$ .