Final answer:
The order of the given differential equation is 3.
Step-by-step explanation:
To determine the order of a differential equation, we count the highest derivative present in the equation. In this case, the equation is:
2x(d³y/dx³) + 3(d²y/dx²) - 3xy = x²
The highest derivative is d³y/dx³, so the order of this differential equation is 3.