The order of differential equation x²dy + y²dx = 0 is?

The order of differential equation x²dy + y²dx = 0 is?

Explanation

The given differential equation is: x²dy + y²dx = 0

This is a first-order differential equation because it involves only the first derivative of y (i.e., dy) and not higher-order derivatives (such as d²y/dx²).

To see this more clearly, we can rewrite the equation as: dy/dx = -y²/x²which is a first-order differential equation in the form dy/dx = f(x,y).