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solutions7bd - Math 33b, Quiz 7bd, March 12, 2008 Name:...

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Unformatted text preview: Math 33b, Quiz 7bd, March 12, 2008 Name: UCLA ID: Consider the system of differential equations x ( t ) = M x , where M is each of the matrices below. For each system of differential equations, a sample solution in the x- y plane is plotted below. Below each matrix, write the letter of the corresponding graph. (You need not show your work.) Do not assign more than one graph to a matrix or vice-versa. i. parenleftbigg- . 1- . 7 . 6- . 1 parenrightbigg . ii. parenleftbigg- . 3 0 . 1 . 5 . 1 parenrightbigg . iii. parenleftbigg- . 4 0 . 2- . 4 0 . 2 parenrightbigg . iv. parenleftbigg- . 2- . 1 . 1 parenrightbigg . (Note that in the actual quiz which was handed out in section, arrows were hand-drawn on each of the graphs. In A and B, the arrow points in towards the origin. In C and D, it points to the right.)- 4- 3- 2- 1 1 2 3 4- 4- 3- 2- 1 1 2 3 4 A- 4- 3- 2- 1 1 2 3 4- 4- 3- 2- 1 1 2 3 4 B- 4- 3- 2- 1 1 2 3 4- 4- 3- 2- 1 1 2 3 4 C- 4- 3- 2- 1 1 2 3 4- 4- 3- 2- 1 1 2 3 4 D Solution. i-B, ii-C, iii-D, iv-A....
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This note was uploaded on 04/02/2008 for the course MATH 33B taught by Professor Staff during the Spring '07 term at UCLA.

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solutions7bd - Math 33b, Quiz 7bd, March 12, 2008 Name:...

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