10Ma2aAnHw5 - A are exactly the roots of the polynomial p (...

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

View Full Document Right Arrow Icon
Ma 2a Fall 2010 (analytical track) PROBLEM SET 5 Due on Monday, November 8 I. Undetermined coefficients Problems 16.1(iv), 22.4(v) II. Oscillations Problems 13.4, 13. 8, 15.4 III. Linear systems with constant coefficients Problem 26.1(v) (X1) Rewrite the n -th order linear equation with constant coefficients a 0 x ( n ) + a 1 x ( n - 1) + · · · + a n x = 0 as a linear system ˙ y = Ay in R n . Show that the eigenvalues of the matrix
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: A are exactly the roots of the polynomial p ( ) = a n + a 1 n-1 + + a n . (X2) Compute the matrix-valued function e At = X n-A n n ! t n for A = - and A = 1 1 . Solve the corresponding IVPs x = Ax, x (0) = x . 1...
View Full Document

This note was uploaded on 11/19/2010 for the course ANTH 122 taught by Professor 323 during the Spring '10 term at Centennial College.

Ask a homework question - tutors are online