Solve the two-way wave equation
Consider the two-way wave equation
$u_{tt} − u_{xx} = 0$
for $t ≥ 0$ and $x ≥ 0$ with initial data $u(x, 0) = u_0(x)$ and $u_t(x, 0) = 0$ for $x ≥ 0$ and boundary data $u_x(0, t) = 0$ for $t > 0$
Draw a diagram of the problem in the $x − t$ plane.
Solve the problem in terms of $u_0$. Describe the interaction of the left-moving wave with the $x = 0$ boundary (one sentence).
Chdogordon
153
Answer
Answers can be viewed only if
- The questioner was satisfied and accepted the answer, or
- The answer was disputed, but the judge evaluated it as 100% correct.
1 Attachment
Martin
768
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to 50% commission on every question your affiliated users ask or answer.
- answered
- 368 views
- $10.00
Related Questions
- Differentiate $y=((e^x)-(e^{-x}))/((e^x)+(e^{-x}))$ and prove that $dy/dx=1-y^2$
- Help with 2 PDE questions
- Aysomptotical stability
- Laplace transforms / ODE / process model
- Equations of Motion and Partial Fractions
- [ Banach Fixt Point Theorem ] $\frac{dy} {dx} = xy, \text{with} \ \ y(0) = 3,$
- Find solutions to the Riemann Problems
- Partial Differential Equations