Solve the partial differential equation using separation of variables and the conditions boundary and initial value: 2² 1 av dx² k dt |V(0,t)= V(ñ‚t)=0,t>0 V(x,0)=f(x),0
Solve the partial differential equation using separation of variables and the conditions boundary and initial value: 2² 1 av dx² k dt |V(0,t)= V(ñ‚t)=0,t>0 V(x,0)=f(x),0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Solve the partial differential equation using separation of variables and the conditions of
boundary and initial value:
8²v
1 av
Əx² k dt
{V(0,t)= V(π,t) = 0 ,t>0
V(x,0)=f(x),0<x< f:[0 ]→R Continuous
Note. You can use Fourier Transform](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd74a8d47-7228-4dcc-9c96-74aa3334d56d%2Fb30b2fd5-acc1-4c7a-986c-5e87a323276e%2F3na9xj_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the partial differential equation using separation of variables and the conditions of
boundary and initial value:
8²v
1 av
Əx² k dt
{V(0,t)= V(π,t) = 0 ,t>0
V(x,0)=f(x),0<x< f:[0 ]→R Continuous
Note. You can use Fourier Transform
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