Quick Check: Differential Equation Classification
Which is an example of a homogeneous ordinary differential equation?
✅ Correct. This equation meets the criteria of a homogeneous ODE.
❌ Not quite. $y^2$ makes the equation non-linear and nonhomogeneous.
❌ Not quite. $\sin t$ is a forcing term, making it nonhomogeneous.
❌ Not quite. This is a homogeneous partial differential equation. It is the famous Laplace equation.
❌ Not quite.
Solution: D. This equation meets the criteria of a homogeneous ODE.