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Dear Everyone,

Hi. I do not how to begin for the following question:

Ex. 5. Using the solution in Ex. 3, solve the wave equation with initial data

$u(x,t)=\frac{1}{{x}^2+1}$ and $\pd{u}{t}(x,0)=0$ for $x\in(-\infty,\infty)$.

The solution, (I have derived this solution in Ex. 4), that is given in Ex. 3 is the following: $u(x,t)=F(x+ct)+G(x-ct)$

Thanks,

Cbarker1

Hi. I do not how to begin for the following question:

Ex. 5. Using the solution in Ex. 3, solve the wave equation with initial data

$u(x,t)=\frac{1}{{x}^2+1}$ and $\pd{u}{t}(x,0)=0$ for $x\in(-\infty,\infty)$.

The solution, (I have derived this solution in Ex. 4), that is given in Ex. 3 is the following: $u(x,t)=F(x+ct)+G(x-ct)$

Thanks,

Cbarker1

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