Question 1: Classify the differential equation.
$$ \frac{d^3y}{dx^3} + \left(\frac{dy}{dx}\right)^2 + xy = 1 $$
A) first-order, non-linear ordinary differential equation.
B) second-order, non-linear ordinary differential equation.
C) second-order, linear ordinary differential equation.
D) third-order, non-linear ordinary differential equation.
E) third-order, linear ordinary differential equation.