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Example 11.11. Find the values of ulx, t) satisfying the parabolic equation :4 at and the boundary conditions u(0, t) = 0 = u(8, t) and u(x, 0) = 4x - x² at the points x = i : i = 0, 1, 2, 7 and t = j:j = 0, 1, 2, ., 5. ,........y .......

Example 11.11. Find the values of ulx, t) satisfying the parabolic equation :4 at and the boundary conditions u(0, t) = 0 = u(8, t) and u(x, 0) = 4x - x² at the points x = i : i = 0, 1, 2, 7 and t = j:j = 0, 1, 2, ., 5. ,........y .......

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 7RE
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du = 4 I Example 11.11. Find the values of ulx, t) satisfying the parabolic equation and the boundary conditions u(0, t) = 0 = u(8, t) and u(x, 0) = 4x -- x2 at the points x =i: į = 0, 1, 2, .., 7 and t = j:j = 0, 1, 2, %3D %3D 5. .....
Transcribed Image Text:du = 4 I Example 11.11. Find the values of ulx, t) satisfying the parabolic equation and the boundary conditions u(0, t) = 0 = u(8, t) and u(x, 0) = 4x -- x2 at the points x =i: į = 0, 1, 2, .., 7 and t = j:j = 0, 1, 2, %3D %3D 5. .....
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