Question

Which of the following is an example of an ordinary differential equation?

Options

• \[x^2 + y^2 = r^2\]

• \[\int y \, dx = C\]

• \[2\frac{d^2y}{dx^2} + \left(\frac{dy}{dx}\right)^3 = 0\]

• \[y = mx + c\]

Answer 1

The equation \[2\frac{d^2y}{dx^2} + \left(\frac{dy}{dx}\right)^3 = 0\] contains ordinary derivatives of the dependent variable with respect to a single independent variable \(x\), making it an ordinary differential equation.