I solved the homogeneous equation first: (x_h(t) = A e^{r_1 t} + B e^{r_2 t}), where (r_1) and (r_2) are roots of the characteristic equation (mr^2 + cr + k = 0).
"Léa, what is the link between your mathematics and physics specialities?"
with (r_1, r_2) real and negative. No oscillations. No resonance. Survival. Three months later, I stood before the jury. Two professors: one in math, one in physics. A whiteboard behind me. A scale model of a Gothic vault in front of me.
I solved the homogeneous equation first: (x_h(t) = A e^{r_1 t} + B e^{r_2 t}), where (r_1) and (r_2) are roots of the characteristic equation (mr^2 + cr + k = 0).
"Léa, what is the link between your mathematics and physics specialities?"
with (r_1, r_2) real and negative. No oscillations. No resonance. Survival. Three months later, I stood before the jury. Two professors: one in math, one in physics. A whiteboard behind me. A scale model of a Gothic vault in front of me.