Mathematics · Differential Equations
The solution of Cauchy's problem for the non-homogeneous wave equation utt(x,t) - uxx(x,t) = 1 with initial conditions u(x,0) = x and ut(x,0) = 0 for -∞ 0 is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1u(x,t) = x + t2/2✓
- 2u(x,t) = x + t
- 3u(x,t) = x2 + t
- 4u(x,t) = x + 3t2/2 + t
Correct answer
u(x,t) = x + t2/2
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