Solving Wave Equation 0 ≤ x < ∞ & t ≥ 0

[gtfitzpatrick]

Homework Statement

Solve the wave equation for 0 $\leq x < \infty$ and t $\geq$ 0 where u(0,t) = 0 for t $\geq$ 0 and u(x,0) = $xe^{-3x}$ and $u_t(x,0) = xe^x$ for x $\geq$ 0

Homework Equations

The Attempt at a Solution

u(x,t) = $\frac{1}{2}(f(x-at)+f(x+at)) + \frac{1}{2a} \int g(s) ds$

so i have f(x) and g(x) do i just fill these functions into the equations, not sure how to proceed...

 

[Tomer]

I believe that's exactly what you need to do, yeah :-)