AMath350.F12.A6

# Hence give the general solution of the de u x u axu

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

## 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.

Ask a homework question - tutors are online