Wave eqaution PDE in mathematica

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SUMMARY

The discussion focuses on solving the wave equation using Mathematica's DSolve function. The user encountered difficulties when attempting to include boundary conditions (BCs) in their input. It was established that DSolve's capabilities for handling partial differential equations (PDEs) are limited, and a recommended approach is to first solve the PDE without BCs, yielding a solution in terms of arbitrary functions C[1] and C[2], which can then be determined using the specified boundary conditions.

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flasherffff
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hi
i can't make DSolve solve the wave equation with simple bvc
ive gone through the mathematica documentation and can't find the answer

for the input


\text{DSolve}\left[\left\{u^{(2,0)}[x,t]==4 u^{(0,2)}[x,t],u[x,0]==1,u^{(0,1)}[x,0]==\text{Sin}[x]\right\},u,\{x,t\}\right]
it just return it unevaluated
 
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DSolve's ability to deal with PDE's is a little limited. Try solving the PDE without the BCs. This will give a solution in terms of two functions, C[1] and C[2]. Then use the BCs to solve for those.
 

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