The function is $\"\"$ and differential equation is $\"\"$ .

The function is $\"\"$ .

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

$\"\"$

$\"\"$ .

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

$\"\"$

$\"\"$ .

The differential equation is $\"\"$ .

$\"\"$

Hence $\"\"$ .

The function $\"\"$ satisfies the differential equation $\"\"$ .