solve the initial value Problem given below Uxx = Ut for U x (TT₁ t) = 0 окха П, tro Ux (0₁t) = 0, U (x₁0) = (x - 1)² -n²t Answer: 1(x) = A₂ + 2 An cox(1x) e An ảop condon=23 H

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 62E
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Question
Problem i
solve the initial value Problem
below
given
Uxx = 1₂
Инх
for
вы олжап, tro
Ux (TT₁ t) = 0
Ux (0₁t) =0,
U (1₁0) = (x - 11 fe
Answer: (x₁) = A₂+ Σ An Cos(1x) ent
n=1
²₁ = 7²/10 - 1² conxdx12=₁1₁213₁---
Transcribed Image Text:Problem i solve the initial value Problem below given Uxx = 1₂ Инх for вы олжап, tro Ux (TT₁ t) = 0 Ux (0₁t) =0, U (1₁0) = (x - 11 fe Answer: (x₁) = A₂+ Σ An Cos(1x) ent n=1 ²₁ = 7²/10 - 1² conxdx12=₁1₁213₁---
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