Testing Your Intuition Knowing (from Example I) what you now do about the damped harmonic oscillator equation m + b. + kx = 0 and the meaning of the parameters m. b. and k, consider Problems 1-2. How would you expect the solution of each equation to behave? Can you imagine a physical system being modeled by the equation? What would you expect for its long-term behavior?
1. + x + x3 = 0
2. + x - x3 = 0