Final answer:
To obtain a SIMULINK model for the given third-order differential equation, multiple integrators, function blocks, and feedback loops would be used in SIMULINK to represent the complex dynamics described by the equation.
Step-by-step explanation:
The question asks for a SIMULINK model of a third-order differential equation, which describes a complex dynamic system. The given equation is d³q/dt³ + 3i + q*sin(q) + q³ = 0. To model this in SIMULINK, each term would need to be represented by appropriate blocks such as integrators, gains, function blocks (for the sine function), and summing junctions. To integrate the third-order differential equation, three integrators in series would be used to model from the third derivative to the function q(t). Feedback loops would be necessary for adding the non-linear functions like sin(q) and q³. Initial conditions and parameters like the 3i term would be set according to the problem's context and requirements.