find u (x, t) for 0 0 which solves u (x,0) = 1, u (1,t) = u (0, t) = 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 43RE
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[Second Order Equations] How do you solve 2? use expansion method
![1.
2.
find u (x, t) for 0 < x < 1 and t> 0 which solves
UtUxx = 0,
u (x,0) = 1,
ux (1,t) = t,
find u (x, t) for 0 < x < 1 and t > 0 which solves
Ut - Uxx = et,
u (x,0) = 1,
ux (0, t) = 0.
u (1, t) = u (0,t) = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e9e717c-6df2-4f6d-a91d-f164d132378c%2F9bad58cd-9ef7-489f-9c0d-2c1f34549186%2Fo5w61xe_processed.png&w=3840&q=75)
Transcribed Image Text:1.
2.
find u (x, t) for 0 < x < 1 and t> 0 which solves
UtUxx = 0,
u (x,0) = 1,
ux (1,t) = t,
find u (x, t) for 0 < x < 1 and t > 0 which solves
Ut - Uxx = et,
u (x,0) = 1,
ux (0, t) = 0.
u (1, t) = u (0,t) = 0.
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