The given image contains a differential equation, and it asks for the order of this equation.

The equation is:

$4x dx - 3y dy = 3x^2 y dy - 2xy^2 dx$

To find the order of the differential equation, we need to determine the highest derivative present in the equation. However, this equation appears to be written in terms of differentials ($dx$ and $dy$), meaning it's currently in a form of a total differential equation.

Let’s transform and simplify the equation into a more familiar form. First, divide both sides by $dx$ to express it as a first-order differential equation:

$4x - 3y \frac{dy}{dx} = 3x^2 y \frac{dy}{dx} - 2xy^2$

This equation contains only first-order derivatives $\frac{dy}{dx}$. Since no higher-order derivatives ($\frac{d^2y}{dx^2}$, etc.) appear in the equation, the order of this differential equation is 1.

Would you like further clarification on this solution? Here are some related questions for deeper understanding:

1. What is the general method to identify the order of a differential equation?
2. How would you solve the differential equation presented in the image?
3. What are the different types of differential equations?
4. What is the significance of solving a first-order differential equation?
5. Can we express this equation in an exact differential form?

Tip: Always check for the highest derivative in a differential equation to determine its order.