Mathematics · Partial Differential Equations
For the wave equation ∂2u/∂t2 = c2(∂2u/∂x2) with initial conditions u(x,0) = x2 and ∂u/∂t(x,0) = k, the solution u(x,t) is given by _______ .
- 1x2 + c2t2 - kt
- 2-x2 + c2t2 - kt
- 3-x2 + c2t2 + kt
- 4x2 + c2t2 + kt✓
Correct answer
x2 + c2t2 + kt
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