Step 1:

The differential equation is $\"image\"$ .

The linear differential equation standard form is $\"image\"$ .

Compare the differential equation $\"image\"$ with standard form.

The right side of differential equation has a factor $\"image\"$ .

The differential equation can not be written in the form of $\"image\"$ .

So, $\"image\"$ is non-linear differential equation.

Solution:

Non-linear differential equation.