Please find attached the question as you told me to upload.I don't understand why tan(a)=-a/h. Also, I don't understand why v(x,t)=sigma(an(e^-(k(an)^2))t(sinanx).Can you please explain it to me?Thank you.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please find attached the question as you told me to upload.I don't understand why tan(a)=-a/h. Also, I don't understand why v(x,t)=sigma(an(e^-(k(an)^2))t(sinanx).Can you please explain it to me?Thank you.

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DIFFERENTIAL
EQUATIONS with
Boundary Value Problems
Bundle: Differential Equations wit..
9th Edition
Dennis G. Zill
Publisher: Cengage Learning
DENNIS G. ZILA
Find 2
ISBN: 9781337604901
Chapter 12.7, Problem 2E
Textbook Problem
Solve the boundary-value problem
kau = a, 0 < x < 1, t > 0
ди
dx 2
u (0, t) = 0, = -h (u (1, t) – uo), h > 0, t> 0
ди
u (x, 0) = f (x), 0 < x < 1.
Expert Solution
To determine
ди
The steady-state temperature u (x, t) for the boundary-value problem k
u (0, t) = 0, = -h (u (1, t) – uo), h> 0,t > 0 and u (x, 0) = f (x), 0 < x < 1.
0 < x < 1, t> 0,
dx2
dt
ди
dt
x=1
X GET 10 FREE QUESTIONS
Transcribed Image Text:5:07 PM Sat Apr 24 * 24% AA bartleby.com M Inbox (89) -... b Solve the bo... G Uh-oh! There... Solve the bo... Facebook b Solve the bo... = bartleby Q Search for textbooks, step-by-step explanatio... Ask an Expert Math / Bundle: Differential Equations with Boundary-Value Probl... / Solve the boundary-value problem k d 2 u d x 2 = d u... : Solve the boundary-value problem k d 2 u d x 2 = d u dt, 0 &lt; x &lt; 1, t &gt; 0 u (0 ... Get live help whenever you need from online tutors! Try bartleby tutor today > DIFFERENTIAL EQUATIONS with Boundary Value Problems Bundle: Differential Equations wit.. 9th Edition Dennis G. Zill Publisher: Cengage Learning DENNIS G. ZILA Find 2 ISBN: 9781337604901 Chapter 12.7, Problem 2E Textbook Problem Solve the boundary-value problem kau = a, 0 < x < 1, t > 0 ди dx 2 u (0, t) = 0, = -h (u (1, t) – uo), h > 0, t> 0 ди u (x, 0) = f (x), 0 < x < 1. Expert Solution To determine ди The steady-state temperature u (x, t) for the boundary-value problem k u (0, t) = 0, = -h (u (1, t) – uo), h> 0,t > 0 and u (x, 0) = f (x), 0 < x < 1. 0 < x < 1, t> 0, dx2 dt ди dt x=1 X GET 10 FREE QUESTIONS
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