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Unformatted text preview: e give the general (solution of the DE.
u x)
u = A(x)u + F(x) where u(x) = u2 (x) ,
u1 ( x )
(b) Write the DE in component form, solve the resulting equations and
3
u4 ( x )
compare your answer+ F(xpart (a). u(x) = u2 (x) ,
with ) where
u = A( x ) u
u3 ( x )
6. A(x) the general solution deﬁnedsystem y = Ayfunction where (x) is an
Find is an appropriately of the matrix valued +u4(x) and F
F ( x)
appropriately deﬁned vector valued function. 4xe x
21
A(x) is an appropriately deﬁned matrix(x) = function .and F(x) is an
A=
, and F valued
1
2. Suppose that deﬁned matrix2with an eigenvalue, 0, of multiplicity two
A is a vector valued function.
appropriately
3 .with associated eigenvector, v, and generalized eigenvector u. (That is,
7. Consider a commodity
and demand curve
2. Suppose that A I )u = withRecall thatsupply S = 50 of multiplicity two
is a matrix constant eigenvalue, ,linearly independent
u satisﬁes (A
v). with an v and u are
whose derivative is given by
with associated (eigenvector, v, andxgeneralized eige...
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This homework help was uploaded on 02/22/2014 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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