Tagged Questions
-2
votes
0answers
73 views
Velocity, Wave Equation, Differential Equations [closed]
Suppose you have a differential equation of the form:
$$
\frac{\partial^2 u}{\partial z^2} = C \frac{\partial^2 u}{\partial t^2} + D \frac{\partial u}{\partial t}$$
Is it possible to find the ...
0
votes
0answers
48 views
What's the physical interpretation of constants in Laplace equation and diffusion equation?
What's the physical interpretation of constants in wave equation and diffusion equation?
$$u_{tt}=c^2u_{xx},$$
$$u_{t}=ku_{xx}.$$
Please introduce some reference about mathematical modeling of ...
1
vote
1answer
98 views
equivalence of wave equations
I wonder if the following 2 PDEs are equivalent:
$$\frac{\partial^2}{\partial t^2}\psi(\vec{r},t)-c(\vec{r})^2\nabla^2\psi(\vec{r},t)=s(\vec{r})\delta'(t)$$ subjects to zero initial conditions ...
0
votes
0answers
121 views
How can I find the solution to this wave equation? [closed]
$$\dfrac {\partial ^{2}y} {\partial x^{2}}=\dfrac {\mu } {To}\left( \dfrac {\partial ^{2}y} {\partial t^{2}}\right)$$
General form given by $y(x,t) = f(x)\cdot cos(\omega t )$.
I can't understand ...
