(Step-by-Step) Solve the wave equation u_t t=u_x x on 0 ≤q x ≤q 1 subject to the conditions u(x, 0)=3 x, u_t(x, 0)=2 x(1-x), u(0, t)=u(1,
Question: Solve the wave equation \(u_{t t}=u_{x x}\) on \(0 \leq x \leq 1\) subject to the conditions
\[u(x, 0)=3 x, u_{t}(x, 0)=2 x(1-x), u(0, t)=u(1, t)=0\]
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