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642:527
ASSIGNMENT 6
FALL 2009
CHANGE IN DUE DATE OF THIS ASSIGNMENT:
Turn in starred problems Thursday 10/15/2009.
Be sure to read the instructions
below.
Section 7.2: 1; 4 (a), (b)*; 5 (a) (c) (f); 10
Section 7.3: 1 (a), (c)*, (h); 9 (a), (g), (h)*, (j); 11 (a)*, (d)*
Instructions:
In Section 7.2, problems 4 and 5, the instruction to ±nd “the equation of
the phase trajectories” means to ±nd a conserved quantity by the method indicated at the
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Unformatted text preview: bottom of page 338 (equations (4) and (5)) and use that to plot trajectories. In Section 7.3, problems 9 and 11, ±rst fnd the general solution oF the equations by matrix methods —that is, using eigenvalues and eigenvectors—as we did in class. Then complete the instructions in the text. Finally, in problem 11 (as well as problem 9), sketch some trajectories in the phase plane. In problem 11 your sketch can be very rough....
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This note was uploaded on 12/15/2009 for the course MATH 527 taught by Professor Staff during the Fall '08 term at Rutgers.
 Fall '08
 Staff
 Math

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