$\"\"$

The differential equation is $\"\"$ .

The function is $\"\"$ .

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

$\"\"$

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

Apply power rule of derivative : $\"\"$ .

$\"\"$

$\"\"$ .

$\"\"$

Consider $\"\"$ .

Substitute $\"\"$ and $\"\"$ in the above equation.

$\"\"$

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

$\"\"$

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