카이스트 고전역학 기말 족보, 졸업생의 꿀팁! (다운로드 링크)

1. (To be scored by Prof.)

2. (a) Show that the superposition principle does not hold for a nonlinear differential equation such as . Here is a constant. (4 points)
Let and are possible solutions of the differential equation. If we apply a trial superposition solution to the equation, then . Therefore, the superposition principle does not hold for such a nonlinear differential equation.
(b) Consider the system represented as