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8. Consider the system u = y uy= where u(1, y ) = cos(y )
y
A , xey ,
(1)
x
421
A= 0 4 3 .
6. Consider the PDE
004
uyy 4u = sin (xy ) .
(2)
(a) Show that A has one eigenvalue, , of multiplicity three with one
Since the partial derivatives with respect1 . Hence absent, this can beof the by
linearly independent eigenvector, v to x are ﬁnd one solution solved
using our understanding of second order ODEs, as follows:
system.
(b) Find two solution u (x, y ) of the associated homogeneous equation u
a) Find the more independent solutions as...
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This homework help was uploaded on 03/02/2014 for the course AMATH 350 taught by Professor Davidhamsworth during the Fall '12 term at University of Waterloo, Waterloo.
 Fall '12
 DavidHamsworth

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