Exercises

01

Driven undamped harmonic oscillator amplitude

Show that the above ODE has a bona fide (particular) solution given by $y(t)=A_f\cos ({\omega }_{f}t)$, where

$$A_f=\frac{F_0}{m({\omega }_s^2-{\omega }_f^2)}.$$

02

Checking ZSR and ZIR

Verify that $y_f(t)$ and $y_h(t)$ are given correctly.