Linearly damped string
= Linearly damped string
With fixed endpoints, $y_{tt}-y_{xx}+y_t=0$ separates into sine modes whose amplitudes satisfy
$$
T_n''+T_n'+n^2\pi^2T_n=0.
$$
= Linearly damped string
With fixed endpoints, $y_{tt}-y_{xx}+y_t=0$ separates into sine modes whose amplitudes satisfy
$$
T_n''+T_n'+n^2\pi^2T_n=0.
$$