Thread: DE Classification

Classify the following differential equation according to its order, whether it is linear or nonlinear, whether it is homogeneous or nonhomogeneous, and whether its coefficients or constant or variable:

I thought it was:
1st order DE
Nonlinear
Nonhomogeneous
Variable coefficients

I was wrong. Which part did I mess up on?

it's a Riccati ODE.