Apply d Alembert formula to solve the following problemQuestion : Let u(x,t) be the solution of the initial value problem \[u_{tt}-u_{xx}=0\]\[u\left(x,0\right)=x^3,\ u_t\left(x,0\right)=\sin(x)\]Then \[u\left(\pi,\pi\right)\] is1. \[4\pi^3\]2. \[\pi^3\]3. \[0\]4. \[0\]Solution : Given u(x,t) be the solution of homogeneous wave equation\[u_{tt}-c^2u_{xx}=0\]subject to general…
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