Mathematics · Partial Differential Equations
Consider the non-homogeneous wave equation: utt - 4uxx = e-t; for all x ∈ ℝ, t > 0 with initial conditions: u(x, 0) = cos(x) ut(x, 0) = 1. Select the correct option:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1u(0, π/2) = π + e-π/2 - 1
- 2u(π/2, 0) = 1
- 3u(π/2, 0) = -1
- 4u(0, π/2) = π + e-π/2 - 2✓
Correct answer
u(0, π/2) = π + e-π/2 - 2
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