Matlab 6

Matlab 6 - MATLAB Assignment 6 Systems of ODEs Exercise 6.1...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
MATLAB Assignment 6 Systems of ODEs Exercise 6.1 (a) >> B = [1.2, 2.5; 4, 0.7] B = 1.2000 2.5000 4.0000 0.7000 (b) >> [eigvec,eigval]=eig(B) eigvec = 0.6501 -0.5899 0.7599 0.8075 eigval = 4.1221 0 0 -2.2221 Exercise 6.2 (a) (b) >> A=[1,3;-1,-5] A = 1 3 -1 -5 >> [eigvec,eigval]=eig(A) eigvec =
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
0.9836 -0.4823 -0.1805 0.8760 eigval = 0.4495 0 0 -4.4495 (c) Exercise 6.3 x ' = 2 y ' = - 3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 x y When x' is negative, the arrows point up and if it is positive, they point downwards. When y' is negative, the arrows point to the right and when it is positive, they point
Background image of page 2
towards the left. As the magnitude of y' increases, the slope of the arrows increases and the greater x' is, the larger the horizontal slope. Exercise 6.4 x ' = y y ' = - x -10 -8 -6 -4 -2 0 2 4 6 8 10 -10 -8 -6 -4 -2 0 2 4 6 8 10 x y Exercise 6.5
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
y ' = - x - 5 y -10 -8 -6 -4 -2 0 2 4 6 8 10 -10 -8 -6 -4 -2 0 2 4 6 8 10 x y As t increases, the solutions go to infinity because of the exponential function in the general solution of the system. Exercise 6.6
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 10/04/2008 for the course MATH 20D taught by Professor Mohanty during the Fall '06 term at UCSD.

Page1 / 6

Matlab 6 - MATLAB Assignment 6 Systems of ODEs Exercise 6.1...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online