Use Laplace transform to solve the partial differential equation: o'y dy = dx² ôt where y(x,0)= 0, y(0,1)=0 and y(x,t) is bounded for 1>0, x>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...
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Use Laplace transform to solve the partial differential equation:
ду ду
y =
dx² dt
where y(x,0)= 0, y(0,1)=0 and y(x, t) is bounded for 1>0, x>0.
Transcribed Image Text:Use Laplace transform to solve the partial differential equation: ду ду y = dx² dt where y(x,0)= 0, y(0,1)=0 and y(x, t) is bounded for 1>0, x>0.
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