Mathematics · Partial Differential Equations
असममित तरंग समीकरण (non-homogeneous wave equation) पर विचार करें: utt - 4uxx = e-t; सभी x ∈ ℝ, t > 0 के लिए प्रारंभिक शर्तों (initial conditions) के साथ: u(x, 0) = cos(x) ut(x, 0) = 1. सही विकल्प का चयन करें:
- 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✓
सही उत्तर देखें
u(0, π/2) = π + e-π/2 - 2
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