$8.00 closed Pulse in a string $8.00 closed I'm stuck on this question. I know there is a reflection wave on the soft boundary (the ring) and it's not inverted and there is no phase change either. Partial Differential Equations Fourier Transform Wave Equation Lillymaths
$20.00 answered Equipartition of energy in one dimensional wave equation $u_{tt}-u_{xx}=0 $ $20.00 answered Suppose $g$ and $h$ have compact support and $u\in C^2(\mathbb{R}\times [0,\infty))$ solves the wave equation and $u=g$, $u_t=h$ on $\mathbb{R}\times \{t=0\}$. The kinetic energy of the wave is and th... Wave Equation Partial Differential Equations Hyperbolic PDEs Nicolasp
$12.00 answered Equipartition of energy in the wave equation $12.00 answered (Equipartition of energy). Let $u \in C^2(\R \times [0,\infty))$ solve the initial-value problem for the wave equation in one dimension: \begin{cases} u_{tt}-u_{xx}=0 & \text{ in } \R \times (0,... Partial Differential Equations Differential Equations Wave Equation Ering