Is this equation linear or non-linear is the equation

Question

Consider the differential equation:

dy/dx = -12y(1 + t)².

Answer the following questions:

a. Is this equation linear or non-linear?

b. Is the equation homogeneous or non-homogeneous?

c. Is the equation separable or non-separable?

d. Which order the equation is?

Find then the solution subject to the initial condition y(0) = 2/e⁴.