Step 1:

The function is $\"\"$ .

Derivative on each side with respect to $\"\"$ .

$\"\"$

Apply the constant rule of derivative : $\"\"$ .

Apply the logarithm rule of derivative : $\"\"$ .

$\"\"$

Step 2:

$\"\"$

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

$\"\"$

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

$\"\"$

Rewrite the above equation,

$\"\"$

Substitute $\"\"$ in above equation.

$\"\"$

The differential equation is $\"\"$

Solution :

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