Fourier transform method for the wave equation
= Fourier transform method for the wave equation
{c}
Fourier transformation in space turns $u_{tt}=c^2u_{xx}$ into the independent oscillators $\widehat u_{tt}+c^2k^2\widehat u=0$.
= Fourier transform method for the wave equation
{c}
Fourier transformation in space turns $u_{tt}=c^2u_{xx}$ into the independent oscillators $\widehat u_{tt}+c^2k^2\widehat u=0$.