4. Suppose that u(x, t) is defined by a PDE and by initial values (at t = 0): du + to,u= u for all x, and t>0 u(x,0) = -x for all x, with t = 0. == Find u(x, t) in the region in which u(x, t) is defined. 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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4. Suppose that u(x, t) is defined by a PDE and by initial values (at t = 0):
autogu u for all x, and t > 0.
u(x,0) = -x for all x, with t = 0.
Find u(x, t) in the region in which u(x, t) is defined.
1
Transcribed Image Text:4. Suppose that u(x, t) is defined by a PDE and by initial values (at t = 0): autogu u for all x, and t > 0. u(x,0) = -x for all x, with t = 0. Find u(x, t) in the region in which u(x, t) is defined. 1
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