Mathematics · Partial Differential Equations
Let u(x, t) be the solution of the partial differential equation ut = 16uxx + 2, 0 0, satisfying ux(0, t) = u(7, t) = 0 for t > 0, and u(x, 0) = 0 for 0 < x < 7. Then for each x ∈ (0, 7), as t → &infty;, u(x, t) approaches:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 149 - x216✓
- 2x2(7 - x)16
- 3x2(7 - x)216
- 40
Correct answer
49 - x216
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