Use Laplace transform to solve the partial differential equation: ²ud²u du(x,0) t> 0, 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
icon
Related questions
Question
Use Laplace transform to solve the partial differential equation:
d²u du
du(x,0)
=
t> 0, 0<x<1, u(x,0) = sin C,
"
at² dx²
at
u(0,1)= 0 and u(1,1)= 0.
= -sin TX,
Transcribed Image Text:Use Laplace transform to solve the partial differential equation: d²u du du(x,0) = t> 0, 0<x<1, u(x,0) = sin C, " at² dx² at u(0,1)= 0 and u(1,1)= 0. = -sin TX,
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer