What Do Professors Say About AI in 2025 Differential Equations?
Whether it's the delicate movement of a pendulum, the random distribution of illnesses, or the gradual transfer of heat from a coffee cup to a surrounding object, differential equations have always been the unsung heroes of our reality. These beautiful equations, however, stand at an intriguing crossroads in 2025, when AI becomes more pervasive in academic settings. When students are overwhelmed by concepts like Laplace transforms or separation of variables, they may look for a sincere way to get help, like " Take your differential equation class ." It's a time of uncertainty, not defeat, but of longing for simplicity in the face of complexities. Professors, as experienced mathematicians, give a chorus of perceptive observations on AI's function, praising it as a steadfast partner that sheds light on patterns humans would overlook, but subtly nudges us toward the realization that real expertise is found in understanding the "why" behind the answers. Th...